Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism
From MaRDI portal
Publication:2171165
DOI10.1016/j.aml.2022.108352zbMath1498.92208OpenAlexW4288069899MaRDI QIDQ2171165
Lingmin Dong, Chengxia Lei, Shuai Hou
Publication date: 23 September 2022
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2022.108352
global attractivityequilibriadiffusive SIR and SEIR epidemic modelsmultiple parallel infectious stagesnonlinear incidence mechanism
Related Items
Cites Work
- Unnamed Item
- A priori \(L^\infty\) estimates for solutions of a class of reaction-diffusion systems
- 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
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- Some epidemiological models with nonlinear incidence
- Global properties of \(SIR\) and \(SEIR\) epidemic models with multiple parallel infectious stages
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- 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
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- A semilinear parabolic system arising in the theory of superconductivity
- Analysis on a diffusive SIS epidemic model with logistic source
- Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment
- A disease transmission model in a nonconstant population
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Global stability of an SIR epidemic model with delay and general nonlinear incidence
- Global properties of a delayed SIR epidemic model with multiple parallel infectious stages
- Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate
- Analysis on a diffusive SIS epidemic system with linear source and frequency-dependent incidence function in a heterogeneous environment
- Concentration behavior of endemic equilibrium for a reaction-diffusion-advection SIS epidemic model with mass action infection mechanism
- Global stability of equilibria of a diffusive SEIR epidemic model with nonlinear incidence
- 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
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- Long-time dynamics of an SIRS reaction-diffusion epidemic model
- Global Dynamics of a General Class of Multistage Models for Infectious Diseases
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model
- Global dynamics of a staged-progression model with amelioration for infectious diseases
- On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms
- Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment
- Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
- Analysis of a delayed SIR model subject to multiple infectious stages and nonlinear incidence rate
This page was built for publication: Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism