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Optimal harvesting and stability for two-species competitive system with stage structure. (English) Zbl 1028.34049

Here, the authors consider a stage-structured model of two species competitive system with two life stages, immature and mature, with harvesting for the mature population and the time from birth to maturity represented a constant time delay. Some sufficient conditions which guarantee the globally asymptotical stability of the unique positive equilibrium are obtained. Further, the optimal harvest effort that maximizes the annual-sustainable yield and the corresponding optimal population level are determined.

MSC:

34D20 Stability of solutions to ordinary differential equations
92D25 Population dynamics (general)
34C60 Qualitative investigation and simulation of ordinary differential equation models
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