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The effects of spatial heterogeneity in population dynamics

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Population Models and Community Structure in Heterogeneous Environments
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On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
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Effect of a singular patch on population persistence in a multi-patch system
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Diffusive logistic equations with indefinite weights: population models in disrupted environments
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RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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Conservation Biology. An Evolutionary-Ecological Perspective.
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Diffusion and Ecological Problems: Mathematical Models.

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Dispersal in Plants
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Copyright Page
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Preface
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Introduction
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Contribution of the parent plant to dispersal
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Attributes of propagules that aid dispersal
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Post-release movement of propagules
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Patterns of dispersal from entire plants
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Invasions and range expansion
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Propagule dispersal and the spatial dynamics of populations and communities
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The evolution of dispersal
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Concluding remarks
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Weed seed movement and dispersal strategies in the agricultural environment
inferred← citeshttps://doi.org/10.1111/nrm.12168openalex-snapshot
Effects of harvesting mediated by dispersal traits
inferred← citeshttps://doi.org/10.1111/oik.01759openalex-snapshot
Local variation in plant quality influences large‐scale population dynamics
inferred← citeshttps://doi.org/10.1111/sapm.12384openalex-snapshot
Green's functions, linear second‐order differential equations, and one‐dimensional diffusion advection models
inferred← citeshttps://doi.org/10.1111/tgis.70097openalex-snapshot
SARE : A Structure‐Aware Region Embedding Framework Capturing Interior Spatial Heterogeneity
inferred← citeshttps://doi.org/10.1137/0153014openalex-snapshot
Should a Park Be an Island?
inferred← citeshttps://doi.org/10.1137/0522068openalex-snapshot
Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
inferred← citeshttps://doi.org/10.1137/1038041openalex-snapshot
Models for Predator-Prey Systems at Multiple Scales
inferred← citeshttps://doi.org/10.1137/120872942openalex-snapshot
Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
inferred← citeshttps://doi.org/10.1137/140981769openalex-snapshot
Spatial Invasion Threshold of Lyme Disease
inferred← citeshttps://doi.org/10.1137/16m1092428openalex-snapshot
Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources
inferred← citeshttps://doi.org/10.1137/17m1124255openalex-snapshot
Optimal Location of Resources for Biased Movement of Species: The 1D Case
inferred← citeshttps://doi.org/10.1137/20m132818xopenalex-snapshot
A Fragmentation Phenomenon for a Nonenergetic Optimal Control Problem: Optimization of the Total Population Size in Logistic Diffusive Models
inferred← citeshttps://doi.org/10.1137/22m1490600openalex-snapshot
Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems
inferred← citeshttps://doi.org/10.1139/x06-132openalex-snapshot
Can forest management based on natural disturbances maintain ecological resilience?
inferred← citeshttps://doi.org/10.1142/s0218127400001262openalex-snapshot
POPULATION DYNAMICS IN HETEROGENEOUS ENVIRONMENTS: A DISCRETE MODEL
inferred← citeshttps://doi.org/10.1142/s0218127416500048openalex-snapshot
Disease Spread and Its Effect on Population Dynamics in Heterogeneous Environment
inferred← citeshttps://doi.org/10.1142/s0218202518400146openalex-snapshot
Parabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreading
inferred← citeshttps://doi.org/10.1142/s0218339020500230openalex-snapshot
OPTIMAL RESOURCE ALLOCATION FOR A DIFFUSIVE POPULATION MODEL
inferred← citeshttps://doi.org/10.1155/amrx.2005.11openalex-snapshot
inferred← citeshttps://doi.org/10.1155/s1048953302000060openalex-snapshot
Connections between the convective diffusion equation and theforced Burgers equation
inferred← citeshttps://doi.org/10.1155/s1085337504311024openalex-snapshot
Species survival versus eigenvalues
inferred← citeshttps://doi.org/10.11648/j.acm.20261504.14openalex-snapshot
The Critical Patch Size Problem in Random Graphs
inferred← citeshttps://doi.org/10.1177/0037549706069103openalex-snapshot
Simultaneous Inductive and Deductive Modeling of Ecological Systems via Evolutionary Computation and Information Theory
inferred← citeshttps://doi.org/10.1186/s13661-018-0964-4openalex-snapshot
Partial differential equation modeling with Dirichlet boundary conditions on social networks
inferred← citeshttps://doi.org/10.1216/rmj-2010-40-2-673openalex-snapshot
Blowing-Up Properties of the Positive Principal Eigenvalue for Indefinite Robin-Type Boundary Conditions
inferred← citeshttps://doi.org/10.1216/rmjm/1181072101openalex-snapshot
Ecological Models, Permanence and Spatial Heterogeneity
inferred← citeshttps://doi.org/10.1216/rmjm/1181072458openalex-snapshot
Global Stability in Models of Population Dynamics with Diffusion. II. Continuously Varying Environments
inferred← citeshttps://doi.org/10.12677/aam.2024.134110openalex-snapshot
Traveling Wave Solutions of a Lotka-Volterra Cooperative Model with Time Delay in a Shifting Environment
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1012098openalex-snapshot
Modeling spatial evolution of multi-drug resistance under drug environmental gradients
inferred← citeshttps://doi.org/10.1371/journal.pcbi.1013896openalex-snapshot
Linking spatial drug heterogeneity to microbial growth dynamics in theory and experiment
inferred← citeshttps://doi.org/10.1371/journal.pone.0042046openalex-snapshot
Drivers and Spatio-Temporal Extent of Hyporheic Patch Variation: Implications for Sampling
inferred← citeshttps://doi.org/10.14288/1.0071047openalex-snapshot
Topics in the asymptotic analysis of linear and nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1515/ans-2013-0105openalex-snapshot
Optimization of the First Eigenvalue of Equations with Indefinite Weights
inferred← citeshttps://doi.org/10.17863/cam.24047openalex-snapshot
Stochastic population dynamics in spatially extended predator–prey systems
inferred← citeshttps://doi.org/10.1890/0012-9658(2000)081[1629:poflws]2.0.co;2openalex-snapshot
POPULATIONS ON FRAGMENTED LANDSCAPES WITH SPATIALLY STRUCTURED HETEROGENEITIES: LANDSCAPE GENERATION AND LOCAL DISPERSAL
inferred← citeshttps://doi.org/10.1890/10-0637.1openalex-snapshot
Nonlinear responses to food availability shape effects of habitat fragmentation on consumers
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Site‐Specific Weed Management: Current and Future Directions
inferred← citeshttps://doi.org/10.22541/au.161700683.30663350/v1openalex-snapshot
A new framework to understand context dependence of two-species population dynamics: A case study of rocky intertidal sessile assembly
inferred← citeshttps://doi.org/10.2307/1939378openalex-snapshot
Partial Differential Equations in Ecology: Spatial Interactions and Population Dynamics
inferred← citeshttps://doi.org/10.2307/1939923openalex-snapshot
Spatial Heterogeneity and the Design of Ecological Field Experiments
inferred← citeshttps://doi.org/10.2307/3545210openalex-snapshot
Spatial Heterogeneity against Heteroscedasticity: An Ecological Paradigm versus a Statistical Concept
inferred← citeshttps://doi.org/10.32920/24042990openalex-snapshot
Positive Solutions of Neumann Boundary Value Problems and Applications to Logistic Type Population Models
inferred← citeshttps://doi.org/10.32920/24042990.v1openalex-snapshot
Positive Solutions of Neumann Boundary Value Problems and Applications to Logistic Type Population Models
inferred← citeshttps://doi.org/10.3390/math13081230openalex-snapshot
Comparison Principle for Weakly Coupled Cooperative Parabolic Systems with Delays
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Carrying Capacity of a Population Diffusing in a Heterogeneous Environment
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Mathematical Models for Cholera Dynamics—A Review
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Nonclassical Symmetry Solutions for Non-Autonomous Reaction-Diffusion Equations
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Asymptotic Behavior of Solutions for Semilinear Volterra Diffusion Equations with Spatial Inhomogeneity and Advection
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