Qualitative analysis of a diffusive SIR epidemic model with saturated incidence rate in a heterogeneous environment
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Publication:2038186
DOI10.1016/j.jmaa.2021.125295zbMath1467.92171OpenAlexW3162607309MaRDI QIDQ2038186
E. J. Avila-Vales, Ángel G. C. Pérez, Gerardo E. García-Almeida
Publication date: 9 July 2021
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.2021.125295
Epidemiology (92D30) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92)
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Cites Work
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- A priori \(L^\infty\) estimates for solutions of a class of reaction-diffusion systems
- Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Numerical modelling of an SIR epidemic model with diffusion
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Effect of a protection zone in the diffusive Leslie predator-prey model
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Analysis on a diffusive SIS epidemic model with logistic source
- Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
- Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment
- Robust persistence for semidynamical systems.
- Complex dynamics of a reaction-diffusion epidemic model
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- 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
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- Lyapunov functions and global stability for a spatially diffusive SIR epidemic model
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
