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具有捕获作甩的广义捕食-被捕食模型的反馈控制
引用本文:刘洋,赵立纯,李海龙.具有捕获作甩的广义捕食-被捕食模型的反馈控制[J].鞍山师范学院学报,2009,11(4):16-20.
作者姓名:刘洋  赵立纯  李海龙
作者单位:1. 辽宁师范大学,数学学院,辽宁,大连,116023
2. 鞍山师范学院,数学系,辽宁,鞍山,114007
摘    要:应用微分代数理论和分叉理论,分析了具有捕获作用的广义捕食-被捕食模型在内部平衡点附近的局部稳定性,得到了不仅使系统在正平衡点处稳定,而且使经济利益达到理想水平的控制率.

关 键 词:捕食-被捕食模型  局部稳定性  反馈控制器  经济利益  广义系统

The Control of Harvested Prey-State feedback of predator model
LIU Yang,ZHAO Li-chun,LI Hai-long.The Control of Harvested Prey-State feedback of predator model[J].Journal of Anshan Teachers College,2009,11(4):16-20.
Authors:LIU Yang  ZHAO Li-chun  LI Hai-long
Institution:LIU Yang~1,ZHAO Li-chun~2,LI Hai-long~2 (1.Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116023,China,2.Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007,China)
Abstract:The local stability around the interior equilibrium of a prey-predator model with harvest effort on predator is investigated,using the differential-algebraic system theory and bifurcation theory.The control law which makes the system stable is obtained.The controller makes the economic interest of harvesting at an ideal level.
Keywords:Prey-predator model  Local stability  State feedback controller  Economic interest  
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