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有密度制约的Lotka-Volterra模型互惠系统同时捕获的最优化
引用本文:殷华敏,吕卫东,麻作军. 有密度制约的Lotka-Volterra模型互惠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(4): 128-130
作者姓名:殷华敏  吕卫东  麻作军
作者单位:陇东学院数学与统计系,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互惠系统的平衡点进行了定性分析,从生态学意义上给出了解释.此外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  互惠系统  同时捕获  最优捕获策略

Optimal problem of density constrain Lotka-Volterra model mutually beneficial system harvested simultaneously
YIN Hua-min,LV Wei-dong,MA Zuo-jun. Optimal problem of density constrain Lotka-Volterra model mutually beneficial system harvested simultaneously[J]. Journal of Xinyang Agricultural College, 2011, 21(4): 128-130
Authors:YIN Hua-min  LV Wei-dong  MA Zuo-jun
Affiliation:(School of Mathematics & Statistics,Longdong University,Qingyang 745000,China)
Abstract:This paper makes an qualitatiye analysis of the equilibrium of density constrain Lotka-Volterra model mutually beneficial system and gives the explanation from the ecology meaning.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  mutually beneficial system  simultaneous harvest  optimization strategy
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