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Continuous and discrete SIR-models with spatial distributions

https://doi.org/10.1007/s00285-016-1071-8
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What this work says

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

inferredcites →https://doi.org/10.1006/bulm.2002.0317openalex-snapshot
Simulating the Effect of Quarantine on the Spread of the 1918–19 Flu in Central Canada
inferredcites →https://doi.org/10.1007/bf00160168openalex-snapshot
Asymptotic behaviour of reaction-diffusion systems in population and epidemic models
inferredcites →https://doi.org/10.1016/0025-5564(94)00068-bopenalex-snapshot
A structured epidemic model incorporating geographic mobility among regions
inferredcites →https://doi.org/10.1016/j.amc.2010.01.028openalex-snapshot
Numerical modelling of an SIR epidemic model with diffusion
inferredcites →https://doi.org/10.1016/j.amc.2010.06.052openalex-snapshot
Cross diffusion-induced pattern in an SI model
inferredcites →https://doi.org/10.1016/j.jtbi.2004.03.018openalex-snapshot
A two-phase epidemic driven by diffusion
inferredcites →https://doi.org/10.1016/j.jtbi.2011.10.008openalex-snapshot
The effect of public health interventions on the spread of influenza among cities
inferredcites →https://doi.org/10.1016/j.jtbi.2011.12.015openalex-snapshot
Spatial dynamics of airborne infectious diseases
inferredcites →https://doi.org/10.1016/j.jtbi.2015.03.005openalex-snapshot
The role of residence times in two-patch dengue transmission dynamics and optimal strategies
inferredcites →https://doi.org/10.1016/j.jtbi.2015.05.008openalex-snapshot
A spatial–temporal transmission model and early intervention policies of 2009 A/H1N1 influenza in South Korea
inferredcites →https://doi.org/10.1016/j.mbs.2005.10.003openalex-snapshot
A diffusive SI model with Allee effect and application to FIV
inferredcites →https://doi.org/10.1016/j.nonrwa.2011.04.014openalex-snapshot
A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6051-9openalex-snapshot
Eigenvalues in Riemannian Geometry
inferredcites →https://doi.org/10.1080/08898480306720openalex-snapshot
A multi-city epidemic model
inferredcites →https://doi.org/10.1080/08898480802221889openalex-snapshot
S-I-R Model with Directed Spatial Diffusion
inferredcites →https://doi.org/10.1098/rspa.1927.0118openalex-snapshot
A contribution to the mathematical theory of epidemics
inferredcites →https://doi.org/10.1137/1.9780898717518.ch10openalex-snapshot
10. Modeling the Spread of Influenza among Cities
inferredcites →https://doi.org/10.3934/mbe.2016.13.43openalex-snapshot
Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile
inferredcites →https://doi.org/10.4310/mrl.2012.v19.n6.a2openalex-snapshot
Ollivier–Ricci curvature and the spectrum of the normalized graph Laplace operator

What points at this work

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

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A Mean Field Game Model for COVID-19 with Human Capital Accumulation
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A mean field game model for COVID-19 with human capital accumulation
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The economic linkages of Covid-19 across sectors and regions in Europe
inferred← citeshttps://doi.org/10.1016/j.ecolmodel.2023.110422openalex-snapshot
Computational applications of extended SIR models: A review focused on airborne pandemics
inferred← citeshttps://doi.org/10.1016/j.idm.2021.05.003openalex-snapshot
Multi-generational SIR modeling: Determination of parameters, epidemiological forecasting and age-dependent vaccination policies
inferred← citeshttps://doi.org/10.1016/j.mbs.2026.109724openalex-snapshot
Reshaping transmission and recovery: How memory effects govern global dynamics thresholds in the SIR model
inferred← citeshttps://doi.org/10.1016/j.socscimed.2021.113794openalex-snapshot
Incorporating Social Determinants of Health into Modelling of COVID-19 and other Infectious Diseases: A Baseline Socio-economic Compartmental Model
inferred← citeshttps://doi.org/10.1016/j.spasta.2022.100711openalex-snapshot
Estimating intervention effects on infectious disease control: The effect of community mobility reduction on Coronavirus spread
inferred← citeshttps://doi.org/10.1088/1742-6596/1144/1/012041openalex-snapshot
Herd immunity estimation of flu-like disease spreading in SEIR population: The sociophysics modelling via Monte Carlo simulation on discrete-spin model
inferred← citeshttps://doi.org/10.1088/1742-6596/901/1/012169openalex-snapshot
Modelling Infectious Disease Spreading Dynamic via Magnetic Spin Distribution: The Stochastic Monte Carlo and Neural Network Analysis
inferred← citeshttps://doi.org/10.1093/biomtc/ujae068openalex-snapshot
A Gaussian-process approximation to a spatial SIR process using moment closures and emulators
inferred← citeshttps://doi.org/10.1214/23-aap2045openalex-snapshot
Supercritical spatial SIR epidemics: Spreading speed and herd immunity
inferred← citeshttps://doi.org/10.1371/journal.pgen.1010391openalex-snapshot
Population genetic models for the spatial spread of adaptive variants: A review in light of SARS-CoV-2 evolution
inferred← citeshttps://doi.org/10.33317/ssurj.384openalex-snapshot
S-I-R Model and COVID-19 Data-Based Numerical Ro Estimation for Pandemic Modeling
inferred← citeshttps://doi.org/10.3390/ijerph191710712openalex-snapshot
Update on COVID-19 and Effectiveness of a Vaccination Campaign in a Global Context
inferred← citeshttps://doi.org/10.3390/math11020426openalex-snapshot
High Resolution Spatio-Temporal Model for Room-Level Airborne Pandemic Spread
inferred← citeshttps://doi.org/10.3390/mca29040069openalex-snapshot
Analyzing Bifurcations and Optimal Control Strategies in SIRS Epidemic Models: Insights from Theory and COVID-19 Data
inferred← citeshttps://doi.org/10.3390/s22228594openalex-snapshot
The Trade-Off between Airborne Pandemic Control and Energy Consumption Using Air Ventilation Solutions
inferred← citeshttps://doi.org/10.3934/mbe.2025062openalex-snapshot
Challenges in the mathematical modeling of the spatial diffusion of SARS-CoV-2 in Chile
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