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Permanence in nonautonomous multi-species predator–prey system with feedback controls. (English) Zbl 1087.92059
Summary: A nonautonomous multi-species predator-prey system with feedback control is proposed, where competition among the predator species and among prey species is considered, and also some important factors such as the effect of toxins and the age-structure are also taken into account. Average conditions are obtained for permanence and global attractivity in the system. The results obtained here generalize the main results of J. Zhao and J. Jiang [Permanence in nonautonomous Lotka-Volterra system with predator-prey. Appl. Math. Comput. 152, 99–109 (2004; Zbl 1047.92050)].

MSC:
92D40Ecology
34D20Stability of ODE
93D15Stabilization of systems by feedback
34D23Global stability of ODE
93C95Applications of control theory