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The asymptotic behavior of bacterial and viral diseases model on a growing domain.
- Source :
- Applicable Analysis; Apr2023, Vol. 102 Issue 6, p1732-1751, 20p
- Publication Year :
- 2023
-
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 Θ 0 ρ 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 102
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 163954528
- Full Text :
- https://doi.org/10.1080/00036811.2021.1999421