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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 6
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Research Article

The asymptotic behavior of bacterial and viral diseases model on a growing domain

, &
Pages 1732-1751 | Received 05 May 2021, Accepted 22 Oct 2021, Published online: 02 Nov 2021
 

ABSTRACT

This paper is concerned with a reaction–diffusion system on a growing domain describing the spatial spreading of bacterial and viral diseases induced by fecal–oral transmission. We introduce a threshold parameter Θ0ρ by means of the eigenvalue problem to explore the stability of the disease-free and endemic equilibria. By overcoming the difficulty induced by the time-dependent diffusion rates, we are further able to investigate the asymptotic behavior of solutions to the reaction–diffusion system. Compared to the model counterpart with fixed domain, biological impacts of a growing domain on the spreading of infectious diseases are obtained. We conclude that the growth of the domain is detrimental to the prevention and control of infectious diseases.

2020 MATHEMATICS SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The work is partially supported by PRC grant NSFC [12171418, 11871065] and NSF of Jiangsu Province [grant number SBK20181450].

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