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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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