Concentration behavior of endemic equilibrium for a reaction–diffusion–advection SIS epidemic model with mass action infection mechanism

On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models

(2019) Pierre Magal et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Long-time dynamics of an SIRS reaction-diffusion epidemic model

(2019) Bo Li et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A spatial SEIRS reaction-diffusion model in heterogeneous environment

(2019) Pengfei Song et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dynamics and asymptotic profiles of endemic equilibrium for SIS epidemic patch models

(2019) Huicong Li et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Fast diffusion inhibits disease outbreaks

(2019) Daozhou Gao et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Global stability of equilibria of a diffusive SEIR epidemic model with nonlinear incidence

(2019) Shuyu Han et al.   APPLIED MATHEMATICS LETTERS

Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism

(2018) Xiaowei Wen et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

An SIS epidemic reaction–diffusion model with spontaneous infection in a spatially heterogeneous environment

(2018) Yachun Tong et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion

(2018) HUICONG LI et al.   EUROPEAN JOURNAL OF APPLIED MATHEMATICS

On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms

(2018) Huicong Li et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

On a vector-host epidemic model with spatial structure

(2018) Pierre Magal et al.   NONLINEARITY

Varying total population enhances disease persistence: Qualitative analysis on a diffusive SIS epidemic model

(2017) Huicong Li et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments

(2017) Renhao Cui et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Multi-patch and multi-group epidemic models: a new framework

(2017) Derdei Bichara et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Analysis on a diffusive SIS epidemic model with logistic source

(2017) Bo Li et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism

(2016) Yixiang Wu et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A spatial SIS model in advective heterogeneous environments

(2016) Renhao Cui et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model

(2016) Keng Deng et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications

(2015) Rui Peng et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

A SIS reaction–diffusion–advection model in a low-risk and high-risk domain

(2015) Jing Ge et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A priori $$L^\infty $$ L ∞ estimates for solutions of a class of reaction-diffusion systems

(2015) Zengji Du et al.   JOURNAL OF MATHEMATICAL BIOLOGY

A reaction–diffusion SIS epidemic model in an almost periodic environment

(2015) Bin-Guo Wang et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications

(2013) Xinfu Chen et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Asymptotic profile of the positive steady state for an SIS epidemic reaction–diffusion model: Effects of epidemic risk and population movement

(2013) Rui Peng et al.   PHYSICA D-NONLINEAR PHENOMENA

A reaction–diffusion SIS epidemic model in a time-periodic environment

(2012) Rui Peng et al.   NONLINEARITY

Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models

(2012) Wendi Wang et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Effect of media-induced social distancing on disease transmission in a two patch setting

(2011) Chengjun Sun et al.   MATHEMATICAL BIOSCIENCES

An SIS patch model with variable transmission coefficients

(2011) Daozhou Gao et al.   MATHEMATICAL BIOSCIENCES

Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model

(2010) A. L. Nevai et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Asymptotic profiles of the positive steady state for an SIS epidemic reaction–diffusion model. Part I

(2009) Rui Peng   JOURNAL OF DIFFERENTIAL EQUATIONS

Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model

(2008) Xinfu Chen et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Spatial patterns in a discrete-time SIS patch model

(2008) L. J. S. Allen et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Global stability of the steady states of an SIS epidemic reaction–diffusion model

(2008) Rui Peng et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law

(2008) Rui Peng et al.   NONLINEARITY