Large time behavior in a reaction diffusion epidemic model with logistic source

Wenjie Li, Ying Zhang, Jinde Cao and Dongshu Wang

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

Abstract: This paper concerns a reaction diffusion epidemic model under logistic source. First, we explore uniform boundedness of the system. Moreover, by constructing two Lyapunov functions, we show that the disease-free equilibrium of system is globally asymptotically stable and the large time dynamics of constant endemic equilibrium is also considered. Especially, we further investigate the convergence rate of the nonnegative globally bounded classical solution. Finally, two numerical simulations are displayed to confirm the results.

Keywords: Epidemic reaction–diffusion model; Large time dynamics; Globally attractive; Convergence rate (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s0960077923011840

DOI: 10.1016/j.chaos.2023.114282

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