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Mathematical models of infectious disease transmission

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Model Selection and Inference
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Generality of the Final Size Formula for an Epidemic of a Newly Invading Infectious Disease
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The effect of household distribution on transmission and control of highly infectious diseases
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Measures of concurrency in networks and the spread of infectious disease
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THE LAW OF MASS-ACTION IN EPIDEMIOLOGY: A HISTORICAL PERSPECTIVE
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A note on generation times in epidemic models
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The implications of network structure for epidemic dynamics
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Transients: the key to long-term ecological understanding?
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Seasonality and period-doubling bifurcations in an epidemic model
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A tutorial introduction to Bayesian inference for stochastic epidemic models using Markov chain Monte Carlo methods
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Daniel Bernoulli’s epidemiological model revisited
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On vaccine efficacy and reproduction numbers
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Probability of HIV-1 transmission per coital act in monogamous, heterosexual, HIV-1-discordant couples in Rakai, Uganda
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Sexual behaviour in Britain: partnerships, practices, and HIV risk behaviours
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How should pathogen transmission be modelled?
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Applications of bioinformatics and computational biology to influenza surveillance and vaccine strain selection
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Principles of Statistical Inference
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The effect of heterogeneity in measles vaccination on population immunity
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Definition and estimation of an actual reproduction number describing past infectious disease transmission: application to HIV epidemics among homosexual men in Denmark, Norway and Sweden
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A Brief History of R 0 and a Recipe for its Calculation
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Transmission intensity and impact of control policies on the foot and mouth epidemic in Great Britain
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Travelling waves and spatial hierarchies in measles epidemics
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Ecological interference between fatal diseases
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Modelling disease outbreaks in realistic urban social networks
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Transmissibility of 1918 pandemic influenza
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Host immunity and synchronized epidemics of syphilis across the United States
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Strategies for containing an emerging influenza pandemic in Southeast Asia
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Superspreading and the effect of individual variation on disease emergence
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Strategies for mitigating an influenza pandemic
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New approaches to quantifying the spread of infection
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Evidence of Airborne Transmission of the Severe Acute Respiratory Syndrome Virus
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Factors that make an infectious disease outbreak controllable
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Mitigation strategies for pandemic influenza in the United States
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Modeling dynamic and network heterogeneities in the spread of sexually transmitted diseases
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Heterogeneities in the transmission of infectious agents: Implications for the design of control programs
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Assessment of the Status of Measles Elimination from Reported Outbreaks: United States, 1997–1999
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Disentangling Extrinsic from Intrinsic Factors in Disease Dynamics: A Nonlinear Time Series Approach with an Application to Cholera
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Rates of HIV‐1 Transmission per Coital Act, by Stage of HIV‐1 Infection, in Rakai, Uganda
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The Interval between Successive Cases of an Infectious Disease
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Different Epidemic Curves for Severe Acute Respiratory Syndrome Reveal Similar Impacts of Control Measures
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Using Data on Social Contacts to Estimate Age-specific Transmission Parameters for Respiratory-spread Infectious Agents
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On Parametric Estimation for Mortal Branching Processes
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Bayesian inference of hospital-acquired infectious diseases and control measures given imperfect surveillance data
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Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation
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The Dynamic Topology Of Sexually Transmitted Disease Epidemics: Implications For Prevention Strategies
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Infectious Diseases of Humans
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THE CLOUD ADULT: THE STAPHYLOCOCCUS AUREUS-VIRUS INTERACTION REVISITED.
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Risks of Acquiring and Transmitting Sexually Transmitted Diseases in Sexual Partner Networks
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AIDS Mortality May Have Contributed to the Decline in Syphilis Rates in the United States in the 1990s
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Is HIV out of control in the UK? An example of analysing patterns of HIV spreading using incidence-to-prevalence ratios
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Epidemiological implications of the contact network structure for cattle farms and the 20–80 rule
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Space and contact networks: capturing the locality of disease transmission
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Transmissibility of swine flu at Fort Dix, 1976
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On methods for studying stochastic disease dynamics
inferredcites →https://doi.org/10.1098/rsif.2007.1168openalex-snapshot
Noise, nonlinearity and seasonality: the epidemics of whooping cough revisited
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A contribution to the mathematical theory of epidemics
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Who mixes with whom? A method to determine the contact patterns of adults that may lead to the spread of airborne infections
inferredcites →https://doi.org/10.1098/rspb.2002.2191openalex-snapshot
The construction and analysis of epidemic trees with reference to the 2001 UK foot–and–mouth outbreak
inferredcites →https://doi.org/10.1098/rspb.2003.2410openalex-snapshot
Transients and attractors in epidemics
inferredcites →https://doi.org/10.1098/rspb.2006.3604openalex-snapshot
Seasonal infectious disease epidemiology
inferredcites →https://doi.org/10.1098/rspb.2006.3636openalex-snapshot
Network frailty and the geometry of herd immunity
inferredcites →https://doi.org/10.1098/rspb.2006.3754openalex-snapshot
How generation intervals shape the relationship between growth rates and reproductive numbers
inferredcites →https://doi.org/10.1103/physreve.64.066112openalex-snapshot
Infection dynamics on scale-free networks
inferredcites →https://doi.org/10.1111/1467-9868.00177openalex-snapshot
Statistical Studies of Infectious Disease Incidence
inferredcites →https://doi.org/10.1111/1467-9876.00187openalex-snapshot
Time Series Modelling of Childhood Diseases: A Dynamical Systems Approach
inferredcites →https://doi.org/10.1111/j.1461-0248.2005.00879.xopenalex-snapshot
Seasonality and the dynamics of infectious diseases
inferredcites →https://doi.org/10.1111/j.1541-0420.2006.00609.xopenalex-snapshot
Statistical Inference in a Stochastic Epidemic SEIR Model with Control Intervention: Ebola as a Case Study
inferredcites →https://doi.org/10.1111/j.2517-6161.1977.tb01627.xopenalex-snapshot
Spatial Contact Models for Ecological and Epidemic Spread
inferredcites →https://doi.org/10.1126/science.1086478openalex-snapshot
Transmission Dynamics of the Etiological Agent of SARS in Hong Kong: Impact of Public Health Interventions
inferredcites →https://doi.org/10.1126/science.1086616openalex-snapshot
Transmission Dynamics and Control of Severe Acute Respiratory Syndrome
inferredcites →https://doi.org/10.1126/science.1086726openalex-snapshot
Measles Outbreaks in a Population with Declining Vaccine Uptake
inferredcites →https://doi.org/10.1126/science.1094442openalex-snapshot
Uses and Abuses of Mathematics in Biology
inferredcites →https://doi.org/10.1126/science.1096898openalex-snapshot
Public Health Risk from the Avian H5N1 Influenza Epidemic
inferredcites →https://doi.org/10.1126/science.1115717openalex-snapshot
Containing Pandemic Influenza at the Source
inferredcites →https://doi.org/10.1126/science.1130388openalex-snapshot
New Strategies for the Elimination of Polio from India
inferredcites →https://doi.org/10.1126/science.1134695openalex-snapshot
Large-Scale Spatial-Transmission Models of Infectious Disease
inferredcites →https://doi.org/10.1126/science.282.5397.2256openalex-snapshot
Prevention of Population Cycles by Parasite Removal
inferredcites →https://doi.org/10.1136/adc.2003.039420openalex-snapshot
Severe acute respiratory syndrome in Singapore
inferredcites →https://doi.org/10.1136/sti.78.suppl_1.i14openalex-snapshot
The geographical and temporal evolution of sexually transmitted disease epidemics
inferredcites →https://doi.org/10.1172/jci1355openalex-snapshot
Local and systemic cytokine responses during experimental human influenza A virus infection. Relation to symptom formation and host defense.
inferredcites →https://doi.org/10.1177/0962280206071643openalex-snapshot
Optimal vaccination schemes for epidemics among a population of households, with application to variola minor in Brazil
inferredcites →https://doi.org/10.1214/07-aoas111openalex-snapshot
Probabilistic projections of HIV prevalence using Bayesian melding
inferredcites →https://doi.org/10.1214/aoap/1034625252openalex-snapshot
Epidemics with two levels of mixing
inferredcites →https://doi.org/10.1371/journal.pone.0000758openalex-snapshot
Estimating Individual and Household Reproduction Numbers in an Emerging Epidemic
inferredcites →https://doi.org/10.1645/0022-3395(2002)088[0521:pvbsd]2.0.co;2openalex-snapshot
PLASMODIUM VIVAX BLOOD-STAGE DYNAMICS
inferredcites →https://doi.org/10.1890/0012-9615(2002)072[0169:domees]2.0.co;2openalex-snapshot
DYNAMICS OF MEASLES EPIDEMICS: ESTIMATING SCALING OF TRANSMISSION RATES USING A TIME SERIES SIR MODEL
inferredcites →https://doi.org/10.2307/1403323openalex-snapshot
Branching Processes with Biological Applications
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Report on the Pandemic of Influenza, 1918-1919
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The Mathematical Theory of Infectious Diseases and Its Applications
inferredcites →https://doi.org/10.2307/3802723openalex-snapshot
Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach
inferredcites →https://doi.org/10.3181/00379727-53-14251popenalex-snapshot
Experimental Air-Borne Influenza Infection. I. Influence of Humidity on Survival of Virus in Air.
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Measles Outbreak in a Community with Very Low Vaccine Coverage, the Netherlands
inferredcites →https://doi.org/10.3201/eid0707.017743openalex-snapshot
Measles Outbreak in a Community with Very Low Vaccine Coverage, the Netherlands
inferredcites →https://doi.org/10.3201/eid1011.04079708openalex-snapshot
HIV, Tuberculosis, and Malaria Antimicrobial Resistance1
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Likelihood
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Infectious Diseases of Humans: Dynamics and Control
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A Cloud Adult: The Staphylococcus aureus-Virus Interaction Revisited

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Modeling the Spread of Infectious Diseases: A Review
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Understanding Infection Progression under Strong Control Measures through Universal COVID‐19 Growth Signatures
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Phylogenetic analysis of SARS‐CoV‐2 in the first few months since its emergence
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Estimation of monkeypox spread in a nonendemic country considering contact tracing and self‐reporting: A stochastic modeling study
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Mathematical Modeling of Integrated Interventions for Lymphatic Filariasis Control
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Inference under superspreading: Determinants of SARS‐CoV‐2 transmission in Germany
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Mathematical Models of Infectious Diseases in Livestock: Concepts and Application to the Spread of Highly Pathogenic Avian Influenza Virus Strain Type H5N1
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Predictive Dynamics: Modeling for Virological Surveillance and Clinical Management of Dengue
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Coupling the Within-Host Process and Between-Host Transmission of COVID-19 Suggests Vaccination and School Closures are Critical
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Mathematical Assessment of the Role of Intervention Programs for Malaria Control
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An Immuno-Epidemiological Model of Foot-and-Mouth Disease (FMD) in the African Buffalo Population with Carrier Transmission
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Mathematical and computational approaches to epidemic modeling: a comprehensive review
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Mathematical Modelling in Epidemiology
inferred← citeshttps://doi.org/10.1007/s12190-024-02331-wopenalex-snapshot
Optimal control strategies and cost-effectiveness analysis for infectious diseases under fractal-fractional derivative: a case study of Cholera outbreak
inferred← citeshttps://doi.org/10.1007/s12190-025-02507-yopenalex-snapshot
Dynamics of a stochastic epidemic model for infectious diseases: inclusion of the environmental contamination factor
inferred← citeshttps://doi.org/10.1007/s12204-022-2559-6openalex-snapshot
Dynamic Self-Similar kc-Center Network Based on Information Dissemination
inferred← citeshttps://doi.org/10.1007/s12273-023-1021-5openalex-snapshot
Impact of thermal stratification on airborne transmission risk of SARS-CoV-2 in various indoor environments
inferred← citeshttps://doi.org/10.1007/s13278-024-01351-5openalex-snapshot
Mathematical model of dating apps’ influence on sexually transmitted diseases spread
inferred← citeshttps://doi.org/10.1007/s40808-025-02380-5openalex-snapshot
Optimal control of leptospirosis dynamics in cattle herds with cost-effectiveness analysis
inferred← citeshttps://doi.org/10.1007/s41109-020-00346-3openalex-snapshot
Assessing the interplay between travel patterns and SARS-CoV-2 outbreak in realistic urban setting
inferred← citeshttps://doi.org/10.1007/s41660-020-00113-yopenalex-snapshot
Modelling the Economic Impact and Ripple Effects of Disease Outbreaks
inferred← citeshttps://doi.org/10.1007/s41660-020-00130-xopenalex-snapshot
Policy Development for Pandemic Response Using System Dynamics: a Case Study on COVID-19
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Pathogen Epidemiology
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Measurement and Modeling: Infectious Disease Modeling
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Measurement and Modeling: Infectious Disease Modeling
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Modeling canine rabies virus transmission dynamics
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Mathematical models in infectious disease epidemiology
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Role of big geospatial data in the COVID-19 crisis
inferred← citeshttps://doi.org/10.1016/b978-0-443-21453-0.00005-1openalex-snapshot
Interaction of entomopathogenic fungi with phytophagous mites and their natural enemies
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Mathematical Models in Infectious Disease Epidemiology
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Modeling as an approach to identify and manage food safety risks related to parasites in the food chain
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Systematic review of applied mathematical models for the control of Schistosoma japonicum
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Dynamic analysis of a communicable disease fractional order model incorporating vaccination and multiple time delays
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Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate
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Contribution des modèles mathématiques à la compréhension de la dynamique de diffusion des bactéries multi-résistantes à l’hôpital
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A multi-scale modeling approach for infectious disease: Integrating within-host dynamics to network-based transmission
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A swarm intelligence-based vaccination strategy for preventing epidemic spreading
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Zoonotic diseases in low and middle-income countries (LMICs): Economic burden, challenges, strategies, and future directions
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Assessing the extinction risks of amphibians impacted by infectious diseases
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Destabilization of terrorist networks
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Dynamics of echinococcosis transmission among multiple species and a case study in Xinjiang, China
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Mathematical perspective of Covid-19 pandemic: Disease extinction criteria in deterministic and stochastic models
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Interactions between hosts affect virus competition mechanism within an infectious strain
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Effect of antibody levels on the spread of disease in multiple infections
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Analytic expression of the probability density function for the first-passage time in birth-death processes
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Modeling learning and forgetting processes with the corresponding impacts on human behaviors in infectious disease epidemics
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Simulating and analysing infectious disease data in a heterogeneous population with migration
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Stability analysis and optimal control in an epidemic model on directed complex networks with nonlinear incidence
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Controlling the spread of infectious diseases by using random walk method to remove many important links
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Numerical study on variable-order time fractional reaction-diffusion model for nonlinear brain tumor dynamics under metronomic chemotherapy
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SEIR-FMi: A coronavirus disease epidemiological model based on intra-city movement, inter-city movement and medical resource investment
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Modeling zoonotic and vector-borne viruses
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Optimal control analysis of a transmission interruption model for the soil-transmitted helminth infections in Kenya
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Transmission heterogeneity emerges from uncoupled parasite shedding and spreading
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A novel approach to disease modeling: The SEIVR model with a vulnerable compartment
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Quantitative estimation in Health Impact Assessment: Opportunities and challenges
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A mathematical model of coronavirus transmission by using the heuristic computing neural networks
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Dynamic population flow based risk analysis of infectious disease propagation in a metropolis
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Improving the computational efficiency of an agent-based spatiotemporal model of livestock disease spread and control
inferred← citeshttps://doi.org/10.1016/j.epidem.2010.04.001openalex-snapshot
27 years of the HIV epidemic amongst men having sex with men in the Netherlands: An in depth mathematical model-based analysis
inferred← citeshttps://doi.org/10.1016/j.epidem.2012.06.001openalex-snapshot
Estimating influenza latency and infectious period durations using viral excretion data
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Detectable signals of episodic risk effects on acute HIV transmission: Strategies for analyzing transmission systems using genetic data
inferred← citeshttps://doi.org/10.1016/j.epidem.2016.10.002openalex-snapshot
Data-driven outbreak forecasting with a simple nonlinear growth model
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Publicly available software tools for decision-makers during an emergent epidemic—Systematic evaluation of utility and usability
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The African swine fever modelling challenge: Objectives, model description and synthetic data generation
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Modeling nation-wide U.S. swine movement networks at the resolution of the individual premises
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A novel method to jointly estimate transmission rate and decay rate parameters in environmental transmission models
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Inferring transmission routes for foot-and-mouth disease virus within a cattle herd using approximate Bayesian computation
inferred← citeshttps://doi.org/10.1016/j.epidem.2026.100901openalex-snapshot
Enhancing Influenza-Like Illness forecasting: An ensemble approach combining mathematical and deep learning models amidst the COVID-19 pandemic
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The impact of ambiguously reported epidemiological parameters for infectious disease modelling and recommended best practices
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A coupled UAU-DKD-SIQS model considering partial and complete mapping relationship in time-varying multiplex networks
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Epidemiological model of COVID-19 with quarantine using reaction–diffusion equation with FTCS, NFSD, MacCormack, and Crank–Nicolson numerical schemes
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Chaos theory in the understanding of COVID-19 pandemic dynamics
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COVID-19: Challenges to GIS with Big Data
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An infectious disease epidemic model with migration and stochastic transmission in deterministic and stochastic environments
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Trends in Monkeypox transmission: Investigation into 30 most affected countries
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The strategy to control the outbreak of an emerging respiratory infectious disease in a simulated Chinese megacity
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Risk propagation in emergency supply chain during public health events - From a reliability perspective
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Structural sensitivity in HIV modeling: A case study of vaccination
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Containment effort reduction and regrowth patterns of the Covid-19 spreading
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Bayesian estimation of the time-varying reproduction number for pulmonary tuberculosis in Iran: A registry-based study from 2018 to 2022 using new smear-positive cases
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A Bayesian modelling framework with model comparison for epidemics with super-spreading
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Results of the epidemiological measurement of endemics, epidemics, and pandemics
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Modeling oil spill disasters using system dynamics: A case study on the MT Princess Empress oil spill in Oriental Mindoro, Philippines
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Risk prediction models for imported infectious diseases: A systematic review
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Modelling the black death. A historical case study and implications for the epidemiology of bubonic plague
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The parasitic phase of Ostertagia ostertagi: quantification of the main life history traits through systematic review and meta-analysis
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Multinomial logistic regression based on neural networks reveals inherent differences among dairy farms depending on the differential exposure to Fasciola hepatica and Ostertagia ostertagi
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The development and validation of a simulation tool for health policy decision making
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Modeling the coronavirus disease 2019 pandemic: A comprehensive guide of infectious disease and decision-analytic models
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Human accuracy in social network analysis: The role of network characteristics in infection risk assessment
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Stability and Hopf bifurcation for age-structured SVIR epidemic model with different compartment ages and two delays effects
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Reconstruction of disease transmission rates: Applications to measles, dengue, and influenza
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Vaccination threshold size and backward bifurcation of SIR model with state-dependent pulse control
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Dynamics of social interactions, in the flow of information and disease spreading in social insects colonies: Effects of environmental events and spatial heterogeneity
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Ancestral process for infectious disease outbreaks with superspreading
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Linking within-host immune dynamics to between-host transmission and reinfection risk
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Modeling epidemic spread in transportation networks: A review
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Evaluation of statistical models of carriage to predict the impact of the 10-valent pneumococcal conjugate vaccine on invasive pneumococcal disease in Nigeria
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Past, present, and future: a situational analysis of infectious disease modelling in Thailand
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Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model
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A modeling investigation of the disease severity driven by COVID-19-induced diabetic patients
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A supervised biosensor-based non-variant structuring approach for analyzing infectious disease data
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The global spread of HIV-1 subtype B epidemic
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Investigating the first stage of the COVID-19 pandemic in Ukraine using epidemiological and genomic data
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Solving age-dependent infectious diseases and tumor growth models using the contraction approach
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The house finch ocular microbiome is altered by infection, but does not predict disease transmission
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Neural network analysis of the transmission dynamics of leptospirosis infection subjected to vaccination and treatment interventions
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Asymptotic analysis for a nonlinear reaction–diffusion system modeling an infectious disease
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Predicting infectious disease for biopreparedness and response: A systematic review of machine learning and deep learning approaches
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Dynamical analysis of a malware propagation model considering the impacts of mobile devices and software diversification
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Disease control through removal of population using Z-control approach
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Epidemics, the Ising-model and percolation theory: A comprehensive review focused on Covid-19
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Cascading failure of complex networks based on load redistribution and epidemic process
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The influence of individual emotions on the coupled model of unconfirmed information propagation and epidemic spreading in multilayer networks
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Coupled propagation between one communicable disease and related two types of information on multiplex networks with simplicial complexes
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A mean field analysis of the role of indirect transmission in emergent infection events
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Effect of the number of hospital beds on disease spreading in higher-order networks
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Modeling disease transmission near eradication: An equation free approach
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The role of geographical spreaders in infectious pattern formation and front propagation speeds
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Social physics
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How to analytically characterize the epidemic threshold within the coupled disease–behavior systems?
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Investigating and forecasting infectious disease dynamics using epidemiological and molecular surveillance data
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Simple rules for simple models
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Using simple models to review the application and implications of different approaches used to simulate transmission of pathogens among aquatic animals
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Modeling the effect of seasonal variation in ambient temperature on the transmission dynamics of a pathogen with a free-living stage: Example of Escherichia coli O157:H7 in a dairy herd
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Putting sheep scab in its place: A more relational approach
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Epirur_Cattle: A Spatially Explicit Agent-based Simulator of Beef Cattle Movements
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How Modelling Can Enhance the Analysis of Imperfect Epidemic Data
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Situation assessment and natural dynamics of COVID-19 pandemic in Nigeria, 31 May 2020
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Socioeconomic restrictions slowdown COVID-19 far more effectively than favorable weather-evidence from the satellite
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Risk assessment model and application of COVID-19 virus transmission in closed environments at sea
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Spatiotemporal mapping and analysis of atypical COVID-19 outbreaks in Shijiazhuang City (China) using the synthetic SEIR-BME approach
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Addressing the global snakebite crisis with geo-spatial analyses – Recent advances and future direction
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Catching a wave: On the suitability of traveling-wave solutions in epidemiological modeling
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Nanoscale hyperthermia mesostructures for sustainable antimicrobial design
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Excitable dynamics simplify neural connectomes
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Severe Childhood Respiratory Viral Infections
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Comparison of molecular testing strategies for COVID-19 control: a mathematical modelling study
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Strengthening health policy modelling in Africa
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