Novel spatial profiles of some diffusive SIS epidemic models

On the effect of lowering population's movement to control the spread of an infectious disease

(2022) Keoni Castellano et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Dynamics and Profiles of a Diffusive Cholera Model with Bacterial Hyperinfectivity and Distinct Dispersal Rates

(2021) Jinliang Wang et al.   Journal of Dynamics and Differential Equations

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

(2021) Renhao Cui et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective

(2021) Francesco Di Lauro et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Analysis of a Reaction–Diffusion Cholera Model with Distinct Dispersal Rates in the Human Population

(2020) Jinliang Wang et al.   Journal of Dynamics and Differential Equations

Population flow drives spatio-temporal distribution of COVID-19 in China

(2020) Jayson S. Jia et al.   NATURE

The effect of human mobility and control measures on the COVID-19 epidemic in China

(2020) Moritz U. G. Kraemer et al.   SCIENCE

An investigation of transmission control measures during the first 50 days of the COVID-19 epidemic in China

(2020) Huaiyu Tian et al.   SCIENCE

Asymptotic profiles of endemic equilibrium of a diffusive SIS epidemic system with nonlinear incidence function in a heterogeneous environment

(2020) Bo Li et al.   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Asymptotic behavior of an SIS reaction–diffusion–advection model with saturation and spontaneous infection mechanism

(2020) Jialiang Zhang et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

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

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

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

The Hidden Geometry of Complex, Network-Driven Contagion Phenomena

(2013) D. Brockmann et al.   SCIENCE

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

(2012) Rui Peng et al.   NONLINEARITY

An SIS patch model with variable transmission coefficients

(2011) Daozhou Gao et al.   MATHEMATICAL BIOSCIENCES

Global stability of a population dynamics model with inhibition and negative feedback

(2011) C. Vargas-De-Leoon et al.   MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA

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

Multiscale mobility networks and the spatial spreading of infectious diseases

(2009) D. Balcan et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

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