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.


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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