Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix

The effect of immigration of infectives on disease-free equilibria

(2019) Reem M. Almarashi et al.   JOURNAL OF MATHEMATICAL BIOLOGY

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

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

Habitat fragmentation promotes malaria persistence

(2019) Daozhou Gao et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Fast diffusion inhibits disease outbreaks

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

Control Strategies in Multigroup Models: The Case of the Star Network Topology

(2018) Fernando Saldaña et al.   BULLETIN OF MATHEMATICAL BIOLOGY

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

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

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

Unified reduction principle for the evolution of mutation, migration, and recombination

(2017) Lee Altenberg et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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

Disease invasion on community networks with environmental pathogen movement

(2014) Joseph H. Tien et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Modelling and control of cholera on networks with a common water source

(2014) Zhisheng Shuai et al.   Journal of Biological Dynamics

A cholera model in a patchy environment with water and human movement

(2013) Marisa C. Eisenberg et al.   MATHEMATICAL BIOSCIENCES

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

Resolvent positive linear operators exhibit the reduction phenomenon

(2012) L. Altenberg   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models

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

An SIS patch model with variable transmission coefficients

(2011) Daozhou Gao et al.   MATHEMATICAL BIOSCIENCES

Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion

(2011) Necibe Tuncer et al.   Journal of Biological Dynamics

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

Global-stability problem for coupled systems of differential equations on networks

(2009) Michael Y. Li et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

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