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有密度制约的Lotka_Volterra模型捕食-食饵系统同时捕获的最优化
引用本文:殷华敏,吕卫东.有密度制约的Lotka_Volterra模型捕食-食饵系统同时捕获的最优化[J].信阳农业高等专科学校学报,2011,21(1):131-133.
作者姓名:殷华敏  吕卫东
作者单位:陇东学院数学系,甘肃庆阳,745000
基金项目:陇东学院2010年青年科技创新项目
摘    要:对有密度制约的Lotka_Volterra模型捕食-食饵系统的平衡点进行了定性分析,分为已知正常数和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.

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

Optimal problem of two species being harvested simultaneously for prey-predator systems
YIN Hua-min.Optimal problem of two species being harvested simultaneously for prey-predator systems[J].Journal of Xinyang Agricultural College,2011,21(1):131-133.
Authors:YIN Hua-min
Institution:YIN Hua-min (Dept.of Mathematics,Longdong University,Qingyang 745000,China)
Abstract:This paper analysizes qualitatiye property of the equilibrium for a continuous prey-predator systems,illustrates the etability of equilibrium points.In addition,the article gives the conditions of maximum sustainable economic revenue when two species of prey-predator systems are harvested simultanously.
Keywords:Lotka-Volterra model  prey-predator system  equilibrium  harvesting effort  maximum net rent    
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