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Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population. (English) Zbl 0708.92023
Summary: The dynamics of a population whose mathematical model is the equation of Verhulst is considered. From the population by discrete outer effects (in the form of impulses) a certain quantity of biomass is taken away (supplemented). This process is described by means of differential equations with impulses at fixed moments. The moments of impulse effect and the magnitudes of the impulses are determined so that the time of regeneration of the quantity of biomass taken away from the population is minimal.

MSC:
92D40 Ecology
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C99 Qualitative theory for ordinary differential equations
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References:
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