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. 2022;137(10):1169.
doi: 10.1140/epjp/s13360-022-03302-5. Epub 2022 Oct 21.

Theoretical and numerical results of a stochastic model describing resistance and non-resistance strains of influenza

El Mehdi Farah  1 , Saida Amine  1 , Shabir Ahmad  2 , Kamsing Nonlaopon  3 , Karam Allali  1
Affiliations

Theoretical and numerical results of a stochastic model describing resistance and non-resistance strains of influenza

El Mehdi Farah et al. Eur Phys J Plus. 2022.

Abstract

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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Figures

Fig. 1
Fig. 1
The detailed flowchart of system (1.2)
Fig. 2
Fig. 2
Dynamic describing the persistence of the non-resistance and resistance diseases
Fig. 3
Fig. 3
Dynamic describing the persistence of the non-resistance strain and the extinction of resistance strain
Fig. 4
Fig. 4
Dynamics of the infection describing the persistence of the non-resistance strain and the extinction of resistance strain
Fig. 5
Fig. 5
Dynamics of the infection describing the persistence of the non-resistance strain and the extinction of resistance strain
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