Geodesic
A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy
Houssine Zine1 ; Adnane Boukhouima2 ; El Mehdi Lotfi2 ; Marouane Mahrouf2 ; Delfim F.M. Torres1 ; Noura Yousfi2
1 Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal.
2 Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B 7955 Sidi Othman, Casablanca, Morocco.
Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 50.

Voir la notice de l'article provenant de la source EDP Sciences

Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. Currently, COVID-19 evolves in many countries to a second stage, characterized by the need for the liberation of the economy and relaxation of the human psychological effects. To this end, numerous countries decided to implement adequate deconfinement strategies. After the first prolongation of the established confinement, Morocco moves to the deconfinement stage on May 20, 2020. The relevant question concerns the impact on the COVID-19 propagation by considering an additional degree of realism related to stochastic noises due to the effectiveness level of the adapted measures. In this paper, we propose a delayed stochastic mathematical model to predict the epidemiological trend of COVID-19 in Morocco after the deconfinement. To ensure the well-posedness of the model, we prove the existence and uniqueness of a positive solution. Based on the large number theorem for martingales, we discuss the extinction of the disease under an appropriate threshold parameter. Moreover, numerical simulations are performed in order to test the efficiency of the deconfinement strategies chosen by the Moroccan authorities to help the policy makers and public health administration to make suitable decisions in the near future.
DOI : 10.1051/mmnp/2020040

Houssine Zine 1 ; Adnane Boukhouima 2 ; El Mehdi Lotfi 2 ; Marouane Mahrouf 2 ; Delfim F.M. Torres 1 ; Noura Yousfi 2

1 Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal.
2 Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B 7955 Sidi Othman, Casablanca, Morocco. 
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Houssine Zine; Adnane Boukhouima; El Mehdi Lotfi; Marouane Mahrouf; Delfim F.M. Torres; Noura Yousfi. A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy. Mathematical modelling of natural phenomena, Tome 15 (2020), article  no. 50. doi : 10.1051/mmnp/2020040. https://geodesic-test.mathdoc.fr/articles/10.1051/mmnp/2020040/

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