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Zbl 1132.92340
Cui, Jing'an; Takeuchi, Yasuhiro
A predator-prey system with a stage structure for the prey. (English)
[J] Math. Comput. Modelling 44, No. 11-12, 1126-1132 (2006). ISSN 0895-7177

Summary: This paper considers a periodic predator-prey system where the prey has a life history that takes the prey through two stages: immature and mature. We provide a sufficient and necessary condition to guarantee permanence of the system. It is shown that the system is permanent if and only if the growth of the predator by foraging the prey minus its death rate is positive on average during the period.

MSC 2000:: *92D40 Ecology
34C25 Periodic solutions of ODE
34D23 Global stability
34D40 Ultimate boundedness
37N25 Dynamical systems in biology

Keywords: permanence; extinction

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Zentralblatt MATH Berlin [Germany]