Dynamics of a Diffusive SIR Epidemic Model with Time Delay

Authors

  • Bounsanong Sounvoravong
  • Shangjiang Guo

DOI:

https://doi.org/10.12150/jnma.2019.319

Keywords:

Diffusion, SIR epidemic model, time delay, basic reproduction number, stability, Lyapunov functional.

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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Published

2024-04-10

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Issue

Vol. 1 No. 3 (2019)

Section

Articles

How to Cite

Dynamics of a Diffusive SIR Epidemic Model with Time Delay. (2024). Journal of Nonlinear Modeling and Analysis, 1(3), 319-334. https://doi.org/10.12150/jnma.2019.319