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.
Highlights
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 investigate the asymptotic profiles of the endemic equilibrium in spatially heterogeneous environment for small and large diffusion rates
Mini-Symposium: Disease Modelling - from Within Host to Population
Summary
1 University of Louisiana at Lafayette, 1401 Johnston Street, Lafayette, LA, US, 70504 deng@louisiana.edu
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