A reaction-diffusion-advection SIS epidemic model with linear external source and open advective environments
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Publication:2081950
DOI10.3934/dcdsb.2022014zbMath1498.35327OpenAlexW4210426254WikidataQ114928967 ScholiaQ114928967MaRDI QIDQ2081950
Xiaoli Wang, Guohong Zhang, Xu Rao
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022014
basic reproduction numberendemic equilibriumpersistence/extinctionlinear external sourceopen advective environments
Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)
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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
- Evolution of dispersal in open advective environments
- A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
- Dynamics of a nonlocal dispersal SIS epidemic model
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- Effects of heterogeneity on spread and persistence in rivers
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
- Global stability of the steady states of an SIS epidemic reaction-diffusion model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Life and death near a windy oasis
- Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism
- Analysis on a diffusive SIS epidemic model with logistic source
- An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment
- A reaction-diffusion-advection SIS epidemic model in a spatially-temporally heterogeneous environment
- Asymptotic profiles of steady states for a diffusive SIS epidemic model with spontaneous infection and a logistic source
- Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment
- Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment
- Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment
- A spatial SEIRS reaction-diffusion model in heterogeneous environment
- Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model
- Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- A quasispecies on a moving oasis
- A spatial SIS model in advective heterogeneous environments
- The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries
- The Mathematics of Infectious Diseases
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model
- Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor
- On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology
- Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
- A spatial SIS model with Holling II incidence rate
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- The Effect of Dispersal Patterns on Stream Populations
- Dynamical systems in population biology
