The Impact of Random Noise on the Dynamics of COVID-19 Epidemic Model

Author:

El Koufi Amine1ORCID,El Koufi Nouhaila2,Bennar Abdelkrim1,Rao Namana Seshagiri3ORCID

Affiliation:

1. Laboratory of Analysis, Modeling, and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955 Sidi Othman, Casablanca, Morocco

2. Laboratory of Information Technology and Modeling (LTIM), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955 Sidi Othman, Casablanca, Morocco

3. Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888 Adama, Ethiopia

Abstract

At the end of 2019, the world knew the propagation of a new pandemic named COVID-19. This disease harmed the exercises of humankind and changed our way of life. For modeling and studying infectious illness transmission, mathematical models are helpful tools. Thus, in this paper, taking into account the effect of the intensity of the noises, we define a threshold value Π s of the model, which determines the extinction and persistence of the COVID-19 pandemic. We give numerical simulations to illustrate the analytical results.

Publisher

Hindawi Limited

Subject

Applied Mathematics

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