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Zbl 1142.34051
Chen, Fengde; You, Minsheng
Permanence, extinction and periodic solution of the predator-prey system with Beddington-DeAngelis functional response and stage structure for prey. (English)
[J] Nonlinear Anal., Real World Appl. 9, No. 2, 207-221 (2008). ISSN 1468-1218

Summary: We study permanence, extinction and periodic solutions of a periodic predator-prey system with Beddington-DeAngelis functional response and stage structure for prey. A set of sufficient and necessary conditions which guarantee the predator and prey species to be permanent are obtained. In addition, sufficient conditions are derived for the existence of positive periodic solutions to the system. Numeric simulations show the feasibility of the main results.

MSC 2000:: *34K60 Applications of functional-differential equations
34K13 Periodic solutions of functional differential equations
34K20 Stability theory of functional-differential equations
92D25 Population dynamics
34K25 Asymptotic theory of functional-differential equations

Keywords: Beddington-DeAngelis functional response; predator; prey; permanence; extinction; periodic solution; stage structure

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Zentralblatt MATH Berlin [Germany]