Optimal States of Distributed Exploited Populations with Periodic Impulse Harvesting

被引：0
|
作者：
A. A. Davydov
D. A. Melnik
机构：
[1] Moscow State University,
[2] National University of Science and Technology MISIS,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2021年 / 315卷
关键词：
distributed population; Kolmogorov–Petrovsky–Piskunov–Fisher equation; impulse control; optimal solution;
D O I：
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中图分类号：
学科分类号：
摘要：
The dynamics of a population distributed on a torus is described by an equation of the Kolmogorov–Petrovsky–Piskunov–Fisher type in the divergence form. The population is exploited by periodic harvesting of a constant distributed measurable fraction of its density. We prove that there exists a harvesting ratio maximizing the time-averaged income in kind, i.e., a ratio that provides an optimal stationary exploitation in the long run.
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页码：S81 / S88
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