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一类强身型食饵—捕食者模型的渐近性态
The Asymptotic Behavior of a Strengthen Type Predator-Prey Model With Stage Structure
【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 .
【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.
【关键词】 一致持续生存;
稳定性;
阶段结构;
种群;
【Key words】 persistence; stability; periodic solution; stage structure; population;
【Key words】 persistence; stability; periodic solution; stage structure; population;
【基金】 国家自然科学基金 ( 199710 6 7)
- 【文献出处】 西南师范大学学报(自然科学版) ,Journalof Southwest China Normal University(Natural Science) , 编辑部邮箱 ,2001年04期
- 【分类号】O175.13;Q141
- 【被引频次】32
- 【下载频次】203