Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment
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Publication:2045729
DOI10.3934/mbe.2020047zbMath1470.92373OpenAlexW2984286401WikidataQ91298337 ScholiaQ91298337MaRDI QIDQ2045729
Yongli Cai, Baoxiang Zhang, Weiming Wang, Bingxian Wang
Publication date: 13 August 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2020047
basic reproduction numberthreshold dynamicsasymptotic profilespatial heterogeneityratio-dependent incidence rate
Related Items (2)
Impact of contact heterogeneity on initial growth behavior of an epidemic: complex network-based approach ⋮ Dynamical analysis of a stochastic SIRS epidemic model with saturating contact rate
Cites Work
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- Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
- A priori \(L^\infty\) estimates for solutions of a class of reaction-diffusion systems
- Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model
- A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
- A stochastic SIRS epidemic model with infectious force under intervention strategies
- Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
- 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
- Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate
- Spatial heterogeneity and the design of immunization programs
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Geometric theory of semilinear parabolic equations
- Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
- Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
- A stochastic SIRS epidemic model with nonlinear incidence rate
- Turing patterns in a diffusive epidemic model with saturated infection force
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- A reaction-diffusion system modeling direct and indirect transmission of diseases
- The effects of population heterogeneity on disease invasion
- Transmission dynamics of Zika virus with spatial structure -- a case study in Rio de Janeiro, Brazil
- Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment
- Global analysis of an epidemic model with nonmonotone incidence rate
- Epidemic models with nonlinear infection forces
- Evolution of a semilinear parabolic system for migration and selection without dominance
- Periodicity in an epidemic model with a generalized non-linear incidence
- The Mathematics of Infectious Diseases
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- Mathematical Models in Population Biology and Epidemiology
- Mathematical Structures of Epidemic Systems
- On a vector-host epidemic model with spatial structure
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
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