Optimal harvesting in predator-prey systems
作者:
FRED BRAUER,
A. C. SOUDACK,
期刊:
International Journal of Control
(Taylor Available online 1985)
卷期:
Volume 41,
issue 1
页码: 111-128
ISSN:0020-7179
年代: 1985
DOI:10.1080/0020718508961113
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We study the harvesting of predators in a predator-prey system as an optimal control problem with the goal of maximizing the long-term average yield. We show that the maximum yield can not be greater than the largest constant-rate harvest for which the system has an equilibrium, provided the controlled system tends to an equilibrium or has a periodic solution. We also give some examples indicating practical strategies using either bang-bang or instantaneous harvests whose yields approach this maximum.
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