Theoretical and numerical results of a stochastic model describing resistance and non-resistance strains of influenza
Laboratory of Mathematics , Computer Science and Applications, Faculty of Sciences and Technologies, Hassan II University of Casablanca, PO Box 146, 20650, Mohammedia, Morocco
2 Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan
3 Department of Mathematics, Faculty of Science, Khon Kaen University, 40002, Khon Kaen, Thailand
Accepted: 18 September 2022
Published online: 21 October 2022
In this world, there are several acute viral infections. One of them is influenza, a respiratory disease caused by the influenza virus. Stochastic modelling of infectious diseases is now a popular topic in the current century. Several stochastic epidemiological models have been constructed in the research papers. In the present article, we offer a stochastic two-strain influenza epidemic model that includes both resistant and non-resistance strains. We demonstrate both the existence and uniqueness of the global positive solution using the stochastic Lyapunov function theory. The extinction of our research sickness results from favourable circumstances. Additionally, the infection’s persistence in the mean is demonstrated. Finally, to demonstrate how well our theoretical analysis performs, various noise disturbances are simulated numerically.
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