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The permanence and extinction of the single species with contraception control and feedback controls. (English) Zbl 1242.93091

Summary: Population control has become a major problem in many wildlife species. Sterility control through contraception has been proposed as a method for reducing population size. In this paper, the single species with sterility control and feedback controls is considered. Sufficient conditions are obtained for the permanence and extinction of the system. The results show that the feedback controls do not influence the permanence of the species.

MSC:

93C95 Application models in control theory
92D25 Population dynamics (general)
93C40 Adaptive control/observation systems
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