https://doi.org/10.1140/epjp/s13360-023-04563-4
Regular Article
Stochastic two-strain epidemic model with bilinear and non-monotonic incidence rates
Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University Hassan II of Casablanca, PO BOX 146, Mohammedia, Morocco
Received:
11
August
2023
Accepted:
5
October
2023
Published online:
17
October
2023
This work is focused in the mathematical modeling and analysis of the diseases resulting from multiple strains. It is in this context that our aim is to formulate a stochastic model driven by white noise, where, the infection rate of the first and second strains are described by bilinear and non-monotone incidence functions, respectively. The paper begins by examining whether there is a unique global positive solution. After that, the paper moves to the investigation of the disease’s extinction and persistence in mean of the two-strain epidemic disease. Finally, diverse numerical simulations are achieved to validate the theoretical findings.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
