Year: 2019
Author: Bounsanong Sounvoravong, Shangjiang Guo
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 319–334
Abstract
This paper is devoted to a reaction-diffusion system for a SIR epidemic model with time delay and incidence rate. Firstly, the nonnegativity and boundedness of solutions determined by nonnegative initial values are obtained. Secondly, the existence and local stability of the disease-free equilibrium as well as the endemic equilibrium are investigated by analyzing the characteristic equations. Finally, the global asymptotical stability is obtained via Lyapunov functionals.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.319
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 319–334
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Diffusion SIR epidemic model time delay basic reproduction number stability Lyapunov functional.