Effect of diffusion in a spatial SIS epidemic model with spontaneous infection

DOI10.3934/DCDSB.2020273zbMath1466.35247OpenAlexW3085071412MaRDI QIDQ2033779

Inkyung Ahn, Zhigui Lin, Yachun Tong

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020273

zbMATH Keywords

persistenceSIS epidemic modelendemic equilibriaspontaneous infection

Mathematics Subject Classification ID

Epidemiology (92D30) 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)

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
• 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
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Elliptic partial differential equations of second order
• Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism
• An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment
• Diffusion, self-diffusion and cross-diffusion
• Semi-linear second-order elliptic equations in \(L^1\)
• Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
• 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
• Spatial Ecology via Reaction‐Diffusion Equations
• Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model

This page was built for publication: Effect of diffusion in a spatial SIS epidemic model with spontaneous infection