有毒素时两竞争鱼群的独立捕获问题  

0n Independent Harvesting of Two Competing Fishing Species in the Presence of Toxicity

作　　者：杨海霞[1] 

机构地区：[1]甘肃联合大学师范学院,兰州730000

出　　处：《重庆理工大学学报（自然科学）》2012年第5期105-112,共8页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(604730304)

摘　　要：对独立捕获的两鱼群的竞争系统进行了讨论。每个鱼群都遵守Logistic增长规律且向对方释放一种毒素物质。分析了系统的动力性态,结果表明毒素物质对动力系统的稳定性有一定的影响。利用Pantryagin最大值原理讨论了最优收获策略。The present paper deals with the problem of independent harvesting of two competing fish species, each of which obeys the law of Logistic growth and releases a substance toxic to the other We discuss the dynamical behavior of the exploited system. We obtain that the toxic substance has some stabilizing effect on the dynamics of model system. Finally, we discuss the optimal harvesting policy using the Pantryagin＇ s Maximum Principle.

关 键 词：竞争 毒素 稳定性 最大值原理 最优收获策略 

分 类 号：O175.1[理学—数学]