Impact of state-dependent dispersal on disease prevalence
DOI10.1007/s00332-021-09731-3zbMath1478.34057OpenAlexW3179669865MaRDI QIDQ1984011
Publication date: 13 September 2021
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-021-09731-3
endemic equilibriumpatch modeldispersal ratedisease prevalenceinfection sizestate-dependent dispersal
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
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- Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
- Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
- A periodic Ross-Macdonald model in a patchy environment
- A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
- Effects of dispersal on total biomass in a patchy, heterogeneous system: analysis and experiment
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- An SIS patch model with variable transmission coefficients
- Population abundance of two-patch competitive systems with asymmetric dispersal
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Dispersal and spatial heterogeneity: single species
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Threshold of disease transmission in a patch environment
- The effects of human movement on the persistence of vector-borne diseases
- Global dynamics of an SIR epidemic model with nonlocal diffusion
- Dynamics of a consumer-resource reaction-diffusion model. Homogeneous versus heterogeneous environments
- Asymmetric dispersal in the multi-patch logistic equation
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- An epidemic model in a patchy environment
- Habitat fragmentation promotes malaria persistence
- Traveling waves for SVIR epidemic model with nonlocal dispersal
- Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix
- A spatial SEIRS reaction-diffusion model in heterogeneous environment
- Dynamics and asymptotic profiles of endemic equilibrium for SIS epidemic patch models
- Disease invasion on community networks with environmental pathogen movement
- Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions
- Impact of travel between patches for spatial spread of disease
- On the effects of migration and spatial heterogeneity on single and multiple species
- A model for disease transmission in a patchy environment
- A Multipatch Malaria Model with Logistic Growth Populations
- The periodic Ross–Macdonald model with diffusion and advection
- Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator
- How Does Dispersal Affect the Infection Size?
- Fast diffusion inhibits disease outbreaks
- Travel Frequency and Infectious Diseases
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
- Dynamical systems in population biology