| 无密度制约的Lotka-Volterra模型捕食-食饵系统同时捕获的最优化 |
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| 引用本文： | 殷华敏,霍锦霞.无密度制约的Lotka-Volterra模型捕食-食饵系统同时捕获的最优化[J].保山学院学报,2010(5):44-47. |
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| 作者姓名： | 殷华敏 霍锦霞 |
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| 作者单位： | 陇东学院数学系;兰州城市学院数学系 |
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| 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。
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| 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 |
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| Institution: | Huamin_Yin,Jinxia_Huo(1.Longdong University,Qingyang Gansu 745000; 2.Lanhou City University,Lanzhou Gansu 730070) |
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| Abstract: | 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. |
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| Keywords: | Lotka-Volterra model Prey-predator system Equilibrium Periodic solution Harvesting effort Maximum net rent |
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