Propagation dynamics of a reaction–diffusion two-group SIR epidemic model with constant recruitment

Author:

Zhao Lin1ORCID,Han Bang-Sheng2

Affiliation:

1. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, P. R. China

2. School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 611756, P. R. China

Abstract

In this paper, we focus on asymptotic speeds of spread for a reaction–diffusion two-group SIR epidemic model with constant recruitment, which lacks the comparison principle. More precisely, if [Formula: see text], then the solution of the system converges to the disease-free equilibrium as [Formula: see text] and if [Formula: see text], there exists a critical speed [Formula: see text] such that the solution of the system is uniformly persistent with [Formula: see text] and the infection dies out with [Formula: see text] for any [Formula: see text]. Finally, some numerical experiments are presented to modeling the propagation dynamics of the system.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Gansu, China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

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