JSIIA
Journées Internationales des sciences de l’ingénieur et de l’intelligence artificielle 2024

Modelisation , analysis and optimal control of the Echinoccocosis disease with application in Morroco

Ibtissam Sannaky; Imane ELBERRAI;

Submission Details


Edition: Journées Internationales des sciences de l’ingénieur et de l’intelligence artificielle 2024

Authors: Ibtissam Sannaky; Imane ELBERRAI;

Keywords: tapeworm; Echinococcus ; granulosus

Abstract:
Cystic Echinococcosis, caused by the tapeworm Echinococcus granulosus is considered one of the serious zoonotic diseases with global prevalence, as it threatens human health and the development of animal industry gravely [1] . A mathematical modeling for the dynamic of EC is a very powerful tool to understand its behavior , in order to guide intervention and control strategies . In this work , we propose a deterministic model for the transmission cycle of EC involving complex interactions between intermediate hosts (humans / livestock ) and definitive hosts ( we will talk about dogs ) [2]. The results show that the dynamic of the model is completely set one the basic reproduction number ?0 [3] , and that both the disease free equilibrium and the endemic equilibrium exist. We study the stability of the equilibriums based on two cases of ?0 (?0 1 ) . We then give a numerical simulation based on data found of Echinococcosis transmission in some regions of Morocco [4] . And finally we propose some control strategies such as inspection of infection in dog populations at least 4 times/year , slaughterhouse monitoring , explain the transmission dynamic of the disease to the civilians (especially in rural areas ) , … , then we give a numerical simulation to show the effectiveness of the approach .