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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 0691.92016

The Verhulst equation \[ dN/dt=(\mu /K)N(K-N) \] is investigated, which describes the dynamics of many populations. \(N=N(t)>0\) denotes the biomass of the population at the moment \(t\geq 0\), \(K>0\) is the capacity of the environment and \(\mu >0\) is the difference between the birthrate and the deathrate.

MSC:

92D25 Population dynamics (general)
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
92D40 Ecology
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