Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model
From MaRDI portal
Publication:3178842
DOI10.1017/S0308210515000864zbMath1353.92094OpenAlexW2496244094MaRDI QIDQ3178842
Publication date: 20 December 2016
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210515000864
global attractivityendemic equilibriumspatial heterogeneitydisease-free equilibriumSIS epidemic reaction-diffusion model
Related Items
Hopf bifurcation of a diffusive SIS epidemic system with delay in heterogeneous environment ⋮ Modeling epidemic outbreaks in geographical regions: seasonal influenza in Puerto Rico ⋮ Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model ⋮ Spatial Segregation in Reaction-Diffusion Epidemic Models ⋮ Long-time dynamics of an SIRS reaction-diffusion epidemic model ⋮ Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion ⋮ Qualitative analysis on a spatial SIS epidemic model with linear source in advective environments: I standard incidence ⋮ Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate ⋮ Influence of spatial heterogeneous environment on long-term dynamics of a reaction-diffusion SVIR epidemic model with relaps ⋮ Dynamics and asymptotic profiles of a nonlocal dispersal SIS epidemic model with bilinear incidence and Neumann boundary conditions ⋮ Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact ⋮ Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism ⋮ Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model ⋮ Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism ⋮ Qualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanism ⋮ On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms ⋮ A reaction-diffusion susceptible-vaccinated-infected-recovered model in a spatially heterogeneous environment with Dirichlet boundary condition ⋮ On the effect of lowering population's movement to control the spread of an infectious disease ⋮ Qualitative analysis of a diffusive SEIR epidemic model with linear external source and asymptomatic infection in heterogeneous environment ⋮ Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection ⋮ Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix ⋮ A quantitative strong unique continuation property of a diffusive SIS model ⋮ Analysis on a diffusive SIS epidemic model with logistic source ⋮ Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities ⋮ A reaction–diffusion SIS epidemic model with saturated incidence rate and logistic source ⋮ Novel spatial profiles of some diffusive SIS epidemic models ⋮ Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment ⋮ Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence ⋮ Parameter Estimation via Adjoint Functions in Epidemiological Reaction-Diffusion Models ⋮ Analysis of a chemotaxis-SIS epidemic model with unbounded infection force ⋮ Dynamics and profiles of a diffusive cholera model with bacterial hyperinfectivity and distinct dispersal rates ⋮ Human mobility and disease prevalence ⋮ Long-time numerical properties analysis of a diffusive SIS epidemic model under a linear external source ⋮ A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment * ⋮ Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment ⋮ Analysis on a Spatial SIS Epidemic Model with Saturated Incidence Function in Advective Environments: I. Conserved Total Population ⋮ Stability analysis of a reaction-diffusion heroin epidemic model ⋮ Asymptotic behavior of an SIS reaction-diffusion-advection model with saturation and spontaneous infection mechanism ⋮ Mathematical analysis of the dynamics of some reaction-diffusion models for infectious diseases ⋮ Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments ⋮ Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period ⋮ An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment ⋮ Analysis of a diffusive host–pathogen epidemic model with two‐stage mechanism in a spatially heterogeneous environment ⋮ Asymptotic profiles of endemic equilibrium of a diffusive SIS epidemic system with nonlinear incidence function in a heterogeneous environment ⋮ Stability of a reaction-diffusion alcohol model with the impact of tax policy ⋮ Analysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rate ⋮ Perceptive movement of susceptible individuals with memory ⋮ Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment ⋮ Spatiotemporal dynamics analysis and optimal control method for an SI reaction-diffusion propagation model ⋮ On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models ⋮ Large time behavior in a diffusive SEIR epidemic model with general incidence ⋮ Dynamics of a diffusive avian influenza model with spatial heterogeneity and general incidence rate ⋮ On a vector-host epidemic model with spatial structure ⋮ Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment ⋮ Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments ⋮ Global stability in a diffusive cholera epidemic model with nonlinear incidence ⋮ Global stability of equilibria of a diffusive SEIR epidemic model with nonlinear incidence ⋮ Qualitative analysis on a diffusive SIRS epidemic model with standard incidence infection mechanism ⋮ Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment ⋮ Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate ⋮ A spatial SEIRS reaction-diffusion model in heterogeneous environment ⋮ Effect of diffusion in a spatial SIS epidemic model with spontaneous infection ⋮ A spatial SIS model with Holling II 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 ⋮ Fast diffusion inhibits disease outbreaks ⋮ Deciphering role of inter and intracity human dispersal on epidemic spread via coupled reaction-diffusion models ⋮ Control strategies for a multi-strain epidemic model ⋮ Existence and asymptotic profiles of the steady state for a diffusive epidemic model with saturated incidence and spontaneous infection mechanism ⋮ Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications ⋮ Asymptotic profiles of a diffusive SIRS epidemic model with standard incidence mechanism and a logistic source ⋮ Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment ⋮ A reaction-diffusion-advection SIS epidemic model with linear external source and open advective environments ⋮ Singular renormalization group approach to SIS problems ⋮ Dynamics and asymptotic profiles of endemic equilibrium for SIS epidemic patch models ⋮ Numerical analysis of a reaction-diffusion susceptible-infected-susceptible epidemic model ⋮ Impact of population size and movement on the persistence of a two-strain infectious disease