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具有时滞和阶段结构的捕食-被捕食模型及最优捕获策略(英文) 被引量:1

The Stage-structure Predator-prey Model with a Time Delay and Optimal Harvesting Policy
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摘要 研究了一个具有阶段结构和时滞的捕食-被捕食模型.分析了它的局部性质,得到某些非负平衡点全局稳定的充分条件,其中用到李雅普诺夫函数及其他方法.最后,在内部平衡点全局稳定的情况下,得出了最优捕获策略. We consider a predator-prey model, which has a time delay and stage-structure. We analyse its local characters, and get some sufficient conditions for global stability of non-negative eqilibria . Finally, we study the optimal harvesting .
出处 《生物数学学报》 CSCD 2003年第4期390-394,共5页 Journal of Biomathematics
基金 The Work is Supported by the Educational Committee of Henan Province
关键词 捕食-被捕食 阶段结构 时滞 最优捕获 Predator-prey 5 Stage-structure Time delay Optimal harvesting
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参考文献5

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