Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model

DOI10.1016/j.jde.2016.09.044zbMath1355.35107OpenAlexW2530986378MaRDI QIDQ340347

Rui Peng, Huicong Li, Feng-Bin Wang

Publication date: 14 November 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.044

zbMATH Keywords

asymptotic profileendemic equilibriapersistence/extinctionSIS epidemic reaction-diffusion mode with linear sourcesmall/large diffusionspatially heterogeneous environment

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Boundary value problems for second-order elliptic systems (35J57)

Related Items (only showing first 100 items - show all)

Hopf bifurcation of a diffusive SIS epidemic system with delay in heterogeneous environment ⋮ Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems ^* ⋮ A diffusive SEIR model for community transmission of Covid-19 epidemics: application to Brazil ⋮ Modeling epidemic outbreaks in geographical regions: seasonal influenza in Puerto Rico ⋮ Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Spatial Segregation in Reaction-Diffusion Epidemic Models ⋮ Analysis on a diffusive SI epidemic model with logistic source and saturation infection mechanism ⋮ Spatial dynamics of a reaction-diffusion cholera model with spatial heterogeneity ⋮ Analysis of a degenerated reaction-diffusion cholera model with spatial heterogeneity and stabilized total humans ⋮ 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 ⋮ Global dynamics of an SIR epidemic model with nonlocal 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 ⋮ Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment ⋮ 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 ⋮ Traveling waves for a generalized Holling-Tanner predator-prey model ⋮ Traveling waves for a reaction-diffusion model with a cyclic structure ⋮ Analysis of a diffusive SIS epidemic model with spontaneous infection and a linear source in spatially heterogeneous environment ⋮ Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism ⋮ Asymptotic profiles of steady states for a diffusive SIS epidemic model with spontaneous infection and a logistic source ⋮ 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 ⋮ 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 ⋮ Dynamical analysis of a diffusive SIRS model with general incidence rate ⋮ Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions ⋮ The impact of the number of hospital beds and spatial heterogeneity on an SIS epidemic model ⋮ Analysis on a diffusive SIS epidemic model with logistic source ⋮ Long-time dynamics of a reaction-diffusion system with negative feedback and inhibition ⋮ A reaction–diffusion SIS epidemic model with saturated incidence rate and logistic source ⋮ Novel spatial profiles of some diffusive SIS epidemic models ⋮ Threshold dynamics of a time-periodic nonlocal dispersal SIS epidemic model with Neumann boundary conditions ⋮ Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment ⋮ An SIS epidemic model with mass action infection mechanism in a patchy environment ⋮ Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence ⋮ Dynamics of a diffusion epidemic SIRI system in heterogeneous environment ⋮ Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment ⋮ Stability analysis of a reaction-diffusion heroin epidemic model ⋮ Asymptotic behavior of an SIS reaction-diffusion-advection model with saturation and spontaneous infection mechanism ⋮ An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment ⋮ Asymptotic profiles of endemic equilibrium of a diffusive SIS epidemic system with nonlinear incidence function in a heterogeneous environment ⋮ Dynamical analysis of a reaction-diffusion mosquito-borne model in a spatially heterogeneous environment ⋮ Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment ⋮ Analysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rate ⋮ Spatiotemporal dynamics in epidemic models with Lévy flights: a fractional diffusion approach ⋮ 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 ⋮ Wave propagation in a nonlocal dispersal SIR epidemic model with nonlinear incidence and nonlocal distributed delays ⋮ Analysis of a reaction-diffusion cholera model with distinct dispersal rates in the human population ⋮ A reaction-diffusion-advection model for Aedes aegypti mosquitoes in a time-periodic environment ⋮ Pattern Dynamics of an SIS Epidemic Model with Nonlocal Delay ⋮ Traveling wave solutions in a nonlocal dispersal SIR epidemic model with general nonlinear incidence ⋮ Large time behavior in a diffusive SEIR epidemic model with general incidence ⋮ Impact of state-dependent dispersal on disease prevalence ⋮ On a vector-host epidemic model with spatial structure ⋮ Spatial spread of epidemic diseases in geographical settings: seasonal influenza epidemics in Puerto Rico ⋮ Qualitative analysis on a diffusive age-structured heroin transmission model ⋮ Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates ⋮ The transmission of dengue virus with Aedes aegypti mosquito in a heterogeneous environment ⋮ Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment ⋮ A reaction-diffusion-advection SIS epidemic model in a spatially-temporally 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 ⋮ Threshold dynamics of a delayed nonlocal reaction-diffusion cholera model ⋮ Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates ⋮ Qualitative analysis of a diffusive SIR epidemic model with saturated incidence rate 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 ⋮ Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates ⋮ Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions ⋮ Analysis on a diffusive SEI epidemic model with/without immigration of infected hosts ⋮ 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 ⋮ Global threshold analysis on a diffusive host-pathogen model with hyperinfectivity and nonlinear incidence functions ⋮ Impact of bacterial hyperinfectivity on cholera epidemics in a spatially heterogeneous environment ⋮ Analysis of a reaction-diffusion host-pathogen model with horizontal transmission ⋮ 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 ⋮ A spatial SIS model in heterogeneous environments with vary advective rate ⋮ Dynamics of West Nile virus driven by seasonal fluctuations in a spatially variable habitat ⋮ Numerical analysis of a reaction-diffusion susceptible-infected-susceptible epidemic model ⋮ Asymptotic profiles of a diffusive SIS epidemic model with vector-mediated infection and logistic source ⋮ Asymptotic dynamics of a logistic SIS epidemic reaction-diffusion model with nonlinear incidence rate ⋮ Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps ⋮ Dynamics and profiles of a diffusive cholera model with bacterial hyperinfectivity and distinct dispersal rates

Cites Work

• 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
• Traveling wave solutions for a diffusive SIS epidemic model
• An SIS patch model with variable transmission coefficients
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
• An SIS infection model incorporating media coverage
• 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
• A semilinear parabolic system arising in the theory of superconductivity
• Diffusion, self-diffusion and cross-diffusion
• Semi-linear second-order elliptic equations in \(L^1\)
• On the global stability of SIS, SIR and SIRS epidemic models with standard incidence
• 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
• On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
• On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
• Dissipativity and global attractors for a class of quasilinear parabolic systems
• Spatial Ecology via Reaction‐Diffusion Equations
• Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
• Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model

This page was built for publication: Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model