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Theses

Système dynamique stochastique de certains modèles proies-prédateurs et applications.

Abstract : This work is devoted to the study of the dynamics of a predator-prey system of Leslie-Gower type defined by a system of ordinary differential equations (EDO) or stochastic differential equations (EDS), or by coupled systems of EDO or EDS. The main objective is to do mathematical analysis and numerical simulation of the models built. This thesis is divided into two parts : The first part is dedicated to a predator-prey system where the prey uses a refuge, the model is given by a system of ordinary differential equations or stochastic differential equations. The purpose of this part is to study the impact of the refuge as well as the stochastic perturbation on the behavior of the solutions of the system. In the second part, we consider a networked predator-prey system. We show that symmetric couplings speed up the convergence to a stationary distribution.
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Safia Slimani. Système dynamique stochastique de certains modèles proies-prédateurs et applications.. Systèmes dynamiques [math.DS]. Normandie Université; Université Badji Mokhtar-Annaba, 2018. Français. ⟨NNT : 2018NORMR123⟩. ⟨tel-02068193⟩

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