有毒素时两竞争鱼群的最优捕获策略  

The Optimal Harvesting Policy 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,甘肃兰州730000

出　　处：《甘肃联合大学学报（自然科学版）》2011年第1期8-13,19,共7页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：讨论了两鱼群的竞争系统,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,研究了毒物对模型稳定性的影响.最后,利用Pantryagin最大值原理讨论了最优收获策略.A two competing fish species system was discussed,each of which obeys the law of logistic growth and release a toxic substance to the other.The dynamical behavior of the system was analyzed.Some effect of toxic substance to influence dynamic stability of the model system were studied.Finally,the optimal harvesting policy using the Pantryagin＇s Maximum Principle was discussed.

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]