TY - JOUR
T1 - Dynamics of a Diffusive SIR Epidemic Model with Time Delay
AU - Sounvoravong , Bounsanong
AU - Guo , Shangjiang
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 319
EP - 334
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.319
UR - https://global-sci.org/intro/article_detail/jnma/18846.html
KW - Diffusion, SIR epidemic model, time delay, basic reproduction
number, stability, Lyapunov functional.
AB - <p style="text-align: justify;">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.</p>