| 一类强身型食饵-捕食者模型的渐近性态 |
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| 引用本文： | 于宇梅,张勇,王稳地.一类强身型食饵-捕食者模型的渐近性态[J].西南师范大学学报(自然科学版),2001,26(4):363-367. |
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| 作者姓名： | 于宇梅 张勇 王稳地 |
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| 作者单位： | 西南师范大学数学系 |
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| 基金项目： | 国家自然科学基金(19971067). |
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| 摘 要： | 研究了一类带阶段结构的食饵－捕食模型的渐近性态，建立了种群一致持续生存和灭绝的条件，通过构造V函数证明了正平衡点的全局稳定性。
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| 关 键 词： | 一致持续生存 稳定性 阶段结构 种群 食饵－捕食者模型 渐近性态 |
| 文章编号： | 1000-5471(2001)04-0363-05 |
| 修稿时间： | 2000年12月1日 |
The Asymptotic Behavior of a Strengthen Type Predator-Prey Model With Stage Structure |
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| YU Yu mei,ZHANG Yong,WANG Wen di Dept.of Mathematics,Southwest China Normal University,Chongqing ,China.The Asymptotic Behavior of a Strengthen Type Predator-Prey Model With Stage Structure[J].Journal of Southwest China Normal University(Natural Science),2001,26(4):363-367. |
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| Authors: | YU Yu mei ZHANG Yong WANG Wen di Deptof Mathematics Southwest China Normal University Chongqing China |
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| Institution: | YU Yu mei,ZHANG Yong,WANG Wen di Dept.of Mathematics,Southwest China Normal University,Chongqing 400715,China |
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| Abstract: | The asymptotic behavior of a strengthen type predator prey mcdel with stage structure is studied. And the sufficient conditions for the predator population extinct and uniform persistent are obtained. Moreover, the global asymptotic stability of the positive equilibrium is found by constructing suitable Lyapunov functions. |
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| Keywords: | persistence stability periodic solution stage structure population |
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