| 一类具阶段结构的捕食者-食饵模型的渐进性质 |
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| 引用本文： | 肖氏武,王稳地,金瑜.一类具阶段结构的捕食者-食饵模型的渐进性质[J].生物数学学报,2007,22(1):37-45. |
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| 作者姓名： | 肖氏武 王稳地 金瑜 |
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| 作者单位： | 1. 襄樊学院,数学系,湖北,襄樊,441053
2. 西南师范大学,数学系,重庆,400715 |
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| 基金项目： | 教育部科学技术研究项目;国家自然科学基金 |
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| 摘 要： | 研究了一类具阶段结构的捕食者-食饵模型的渐近性质．文中假设由幼年阶段转化为成年阶段的转化率依赖于幼年个体数量．建立了捕食种群一致持续生存与绝灭的条件．证明了稳定的周期解的存在性．
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| 关 键 词： | 阶段结构 持续生存 稳定性 周期轨 |
| 文章编号： | 1001-9626（2007）01-0037-09 |
| 收稿时间： | 2005-04-05 |
| 修稿时间： | 2005-04-05 |
Asymptotic Behavior of a Predator-Prey Population Model with Stage-Structure |
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| XIAO Shi-wu,WANG Wen-di,JIN Yu.Asymptotic Behavior of a Predator-Prey Population Model with Stage-Structure[J].Journal of Biomathematics,2007,22(1):37-45. |
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| Authors: | XIAO Shi-wu WANG Wen-di JIN Yu |
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| Institution: | 1 Department of Mathematics, Xiangfan University, Xiangfan Hubei 441053 China;2 Department of Mathematics, Southwest China Normal University, Chongqing 400715 China |
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| Abstract: | This paper studies the asymptotic behavior of a predator prey system with stage structure.It is assumed that the transition rate from immature stage to mature stage depends on the density of immature individuals.Conditions for the per- manenee and extinction of the predator are obtained.It is also found that the model admits an orbitally asymptotically stable periodic orbit. |
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| Keywords: | Stage structure Permanence Stability Periodic orbit |
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