poster: The Effect of Reserved Zone on The Behaviour of Food chain Model
speaker: Shireen Jawad (UK-Brunel University London-Department of Mathematics)abstract: We propose a continuous time model of a prey-predator food web with a prey refuge. The habitat is divided into two disjoint zones, namely unreserved and reserved zones. The predators are not permitted to enter in to the reserved zone. Therefore, the aim of this work is to offer the mathematical analysis of this model and to discuss some obtained results. Conditions which influence existence, uniqueness, positiveness and boundedness of solutions of the proposed model are studied. Local stability analysis around all equilibria of the system is discussed. Furthermore, global stability of model system around all the equilibrium points is investigated based on Lyapunov direct method. The local bifurcation near each of the equilibrium points is obtained. Some numerical simulations are studied to confirm our analytical results. It was shown that the refuge has a stabilizing impact on the food chain predator-prey interactions.
timetable:
Wed 13 Sep, 19:01 - 21:00, Corridoio piano terra
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