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Zbl 1087.92059
Chen, Fengde
Permanence in nonautonomous multi-species predator--prey system with feedback controls. (English)
[J] Appl. Math. Comput. 173, No. 2, 694-709 (2006). ISSN 0096-3003

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 {\it J. Zhao} and {\it J. Jiang} [Permanence in nonautonomous Lotka-Volterra system with predator-prey. Appl. Math. Comput. 152, 99--109 (2004; Zbl 1047.92050)].

MSC 2000:: *92D40 Ecology
34D20 Lyapunov stability of ODE
93D15 Stabilization of systems by feedback
34D23 Global stability
93C95 Appl. of control theory

Keywords: predator-prey; lower average; upper average; permanence; Lyapunov function; global asymptotic stability; feedback control; logistic equation

Citations: Zbl 1047.92050

Cited in: Zbl 1169.93011

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