无密度制约的Lotka-Volterra模型捕食-食饵系统同时捕获的最优化  

Optimal problem of two species being harvested simultaneously for prey-predator systems

作　　者：殷华敏[1] 霍锦霞[2] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000 [2]兰州城市学院数学系,甘肃兰州730070

出　　处：《保山学院学报》2010年第5期44-47,共4页JOURNAL OF BAOSHAN UNIVERSITY

摘　　要：对无密度制约的Lotka-Volterra模型捕食-食饵系统的平衡点进行了定性分析,从生态学意义上解释了中心奇点外周围周期解的存在性。此外分λ为已知正常数和λ未知两种情况给出了此系统的两种群同时捕获时的最大持续受益的条件。This paper analysizes qualitatiye property of the equilibrium for a continuous prey-predator systems,illustrates the existence of periodic solutions around center in point of ecology.In addition,the article gives the conditions of maximum sustainable economic revenue when two species of prey-predator systems are harvested simultanously.

关 键 词：LOTKA-VOLTERRA模型 捕食-食饵系统 平衡点 努力捕获量 最大纯收益 

分 类 号：O224[理学—运筹学与控制论]