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Optimal impulsive harvesting on non-autonomous Beverton-Holt difference equations. (English) Zbl 1119.39011
This interesting paper is concerned with the Beverton-Holt model for fish populations, and the authors investigate impulsive harvesting in seasonal environments, i.e., in addition to the periodic Beverton-Holt equation, the population size is multiplied by a factor \(0\leq E_k\leq1\), which models the harvesting effort. First, the existence and stability of a periodic solution is shown in case the harvesting intensity is not too high. Then an optimal harvesting strategy is discussed by means of discrete optimal control theory. Finally, the authors show how to apply the results to (continuous) periodic logistic equations with impulsive harvesting.

MSC:
39A11 Stability of difference equations (MSC2000)
92D25 Population dynamics (general)
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