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Asymptotic stability of solutions for a diffusive epidemic model
- Source :
- Demonstratio Mathematica, Vol 55, Iss 1, Pp 553-573 (2022)
- Publication Year :
- 2022
- Publisher :
- De Gruyter, 2022.
-
Abstract
- The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly broad class of nonlinearity that describes the transmission of an infectious disease between individuals. The model is analyzed by using the basic reproductive number R0{R}_{0}. Finally, we present the numerical examples simulations that clarifies and confirms the results of the study throughout the paper.
Details
- Language :
- English
- ISSN :
- 23914661
- Volume :
- 55
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.406d27be3cdd4cf39b9b51122fda5e49
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2022-0150