An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment
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Publication:1698376
DOI10.1016/j.nonrwa.2017.11.002zbMath1380.92086OpenAlexW2789735877MaRDI QIDQ1698376
Publication date: 15 February 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.11.002
endemic equilibriaspatially heterogeneous environmentdisease persistenceSIS epidemic reaction-diffusion modelsmall/large migrationspontaneous infection
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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
- Traveling wave solutions for a diffusive SIS epidemic model
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- 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
- Large amplitude stationary solutions to a chemotaxis system
- A semilinear parabolic system arising in the theory of superconductivity
- 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
- Non-constant positive steady states of the Sel'kov model.
- Diffusion, self-diffusion and cross-diffusion
- Semi-linear second-order elliptic equations in \(L^1\)
- 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
- Pattern formation in the Brusselator system
- 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
- 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