Asymptotic behavior of an SIR reaction-diffusion model with a linear source.
K Deng - Discrete & Continuous Dynamical Systems-Series …, 2019 - search.ebscohost.com
Discrete & Continuous Dynamical Systems-Series B, 2019•search.ebscohost.com
In this paper, we consider an SIR reaction-diffusion model with a linear external source in
spatially heterogeneous environment. We first study the global stability of the disease-free
equilibrium in spatially heterogeneous environment and the global stability of the endemic
equilibrium in spatially homogeneous environment. We then investigate the asymptotic
profiles of the endemic equilibrium in spatially heterogeneous environment for small and
large diffusion rates.
spatially heterogeneous environment. We first study the global stability of the disease-free
equilibrium in spatially heterogeneous environment and the global stability of the endemic
equilibrium in spatially homogeneous environment. We then investigate the asymptotic
profiles of the endemic equilibrium in spatially heterogeneous environment for small and
large diffusion rates.
Abstract
In this paper, we consider an SIR reaction-diffusion model with a linear external source in spatially heterogeneous environment. We first study the global stability of the disease-free equilibrium in spatially heterogeneous environment and the global stability of the endemic equilibrium in spatially homogeneous environment. We then investigate the asymptotic profiles of the endemic equilibrium in spatially heterogeneous environment for small and large diffusion rates.
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