Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment
From MaRDI portal
Publication:2190024
DOI10.1016/j.jmaa.2020.124212zbMath1444.92124OpenAlexW3025189590MaRDI QIDQ2190024
Publication date: 17 June 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124212
asymptotic profileendemic equilibriumsaturated incidence ratespatially heterogeneousSIS epidemic model with linear source
Related Items (16)
Analysis on a diffusive SI epidemic model with logistic source and saturation infection mechanism ⋮ Qualitative analysis on a spatial SIS epidemic model with linear source in advective environments: I standard incidence ⋮ Dynamics and asymptotic profiles of a nonlocal dispersal SIS epidemic model with bilinear incidence and Neumann boundary conditions ⋮ Qualitative analysis on an SIRS reaction-diffusion epidemic model with saturation infection mechanism ⋮ Dynamics of diffusive nutrient-microorganism model with spatially heterogeneous environment ⋮ A reaction–diffusion SIS epidemic model with saturated incidence rate and logistic source ⋮ Spatial dynamics for an SIRE epidemic model with diffusion and prevention in contaminated environments ⋮ Dynamical behaviors and optimal control of delayed S2IS rumor propagation model with saturated conversion function over complex networks ⋮ Asymptotic behavior of an SIS reaction-diffusion-advection model with saturation and spontaneous infection mechanism ⋮ Analysis on a diffusive SIRS epidemic model with logistic source and saturated incidence rate ⋮ Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate ⋮ Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates ⋮ 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 ⋮ A reaction-diffusion-advection SIS epidemic model with linear external source and open advective environments ⋮ Asymptotic profiles of a diffusive SIS epidemic model with vector-mediated infection and logistic source
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- A generalization of the Kermack-McKendrick deterministic epidemic model
- 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
- Semi-linear second-order elliptic equations in \(L^1\)
- Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate
- 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
- 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
- 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
- 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
- Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
- Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
This page was built for publication: Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment
