A reaction–diffusion SIS epidemic model with saturated incidence rate and logistic source

DOI10.1080/00036811.2020.1859495zbMath1496.35082OpenAlexW3112368413MaRDI QIDQ5102269

Renhao Cui, Xin Huo

Publication date: 6 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1859495

zbMATH Keywords

asymptotic profileendemic equilibriumspatial heterogeneitysaturated incidence rateSIS epidemic model with logistic source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Analysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rate

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
• Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
• Effect of a protection zone in the diffusive Leslie predator-prey 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
• Large amplitude stationary solutions to a chemotaxis system
• Elliptic partial differential equations of second order
• Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism
• Analysis on a diffusive SIS epidemic model with logistic source
• An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment
• Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment
• Diffusion, self-diffusion and cross-diffusion
• Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate
• Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate
• Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment
• Asymptotic behavior of an SIS reaction-diffusion-advection model with saturation and spontaneous infection mechanism
• Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment
• Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment
• Asymptotic behavior of an SIR reaction-diffusion model with a linear source
• A diffusive SIS epidemic model incorporating the media coverage impact in the 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
• On the effects of migration and spatial heterogeneity on single and multiple species
• A spatial SIS model in advective heterogeneous environments
• The Mathematics of Infectious Diseases
• A reaction–diffusion SIS epidemic model in a time-periodic environment
• Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model
• On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
• L^PBounds of solutions of reaction-diffusion equations
• Spatial Ecology via Reaction‐Diffusion Equations
• On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Asymptotic profiles of the endemic equilibrium of a diffusive SIS epidemic system with saturated incidence rate and spontaneous infection
• Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
• An Introduction to Mathematical Epidemiology

This page was built for publication: A reaction–diffusion SIS epidemic model with saturated incidence rate and logistic source