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Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response. (English) Zbl 1219.92064

Summary: Two stage-structured predator-prey systems with Beddington-DeAngelis functional response are proposed. The first one is deterministic. The second one takes random perturbations into account. For each system, sufficient conditions for global asymptotic stability are established. Some simulation figures are introduced to support the analytical findings.

MSC:

92D40 Ecology
34D23 Global stability of solutions to ordinary differential equations
65C20 Probabilistic models, generic numerical methods in probability and statistics
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