Modelling and analysis of a harvested prey-predator system incorporating a prey refuge
Modelling and analysis of a harvested prey-predator system incorporating a prey refuge
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DOI：
10.1016/j.cam.2005.01.035
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发表时间：
2006
影响因子：
2.4
通讯作者：
T. K. Kar
中科院分区：
文献类型：
--
作者：
T. K. Kar
本文讨论了一种猎物-捕食者模型，其中包括猎物-庇护所和两个物种的独立收获。我们的研究表明，使用收集工作作为控制，可以打破系统的循环行为并将其驱动到所需的状态。已经考虑了生物平衡存在的可能性。然后利用庞特里亚金极大原则解决最优收获政策问题。
The present paper deals with a prey–predator model incorporating a prey-refuge and independent harvesting in either species. Our study shows that, using the harvesting efforts as controls, it is possible to break the cyclic behaviour of the system and drive it to a required state. The possibility of existence of bionomic equilibria has been considered. The problem of optimal harvest policy is then solved by using Pontryagin's maximal principle.