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**Continuous versus pulse harvesting for population models in constant and variable environment.**
*(English)*
Zbl 1143.92327

Summary: We consider both autonomous and nonautonomous population models subject to either impulsive or continuous harvesting. It is demonstrated that the impulsive strategy can be as good as the continuous one, but cannot outperform it. We introduce a model, where certain harm to the population is incorporated in each harvesting event, and study it for the logistic and the Gompertz laws of growth. In this case, impulsive harvesting is not only the optimal strategy but is the only possible one.

### MSC:

92D40 | Ecology |

34A37 | Ordinary differential equations with impulses |

49N90 | Applications of optimal control and differential games |

### Keywords:

harvesting; impulsive equation; logistic model; periodic solutions; maximal sustainable yield; by-catch mortality
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\textit{E. Braverman} and \textit{R. Mamdani}, J. Math. Biol. 57, No. 3, 413--434 (2008; Zbl 1143.92327)

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### References:

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