| 具有两性的捕食者-食饵模型的渐近性态 |
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| 引用本文： | 张天然,王稳地. 具有两性的捕食者-食饵模型的渐近性态[J]. 西南师范大学学报(自然科学版), 2005, 30(1): 13-17 |
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| 作者姓名： | 张天然 王稳地 |
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| 作者单位： | 西南师范大学,数学与财经学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金资助项目(10271096). |
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| 摘 要： | 研究具有Holling Ⅱ功能反应的捕食者食饵模型. 得到了食饵两性具有不同的出生率和死亡率时, 边界平衡点全局稳定的条件及食饵和捕食者一致持续生存的条件. 数值模拟表明, 捕食者的存在最终不会改变食饵的性别比例.
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| 关 键 词： | 捕食者-食饵模型 全局稳定性 奇点分支 一致持续生存 |
| 文章编号： | 1000-5471(2005)01-0013-05 |
| 收稿时间： | 2004-03-02 |
| 修稿时间： | 2004-03-02 |
Asymptotic Behavior of Two-Sex Predator-Prey Model |
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| ZHANG Tian-ran,WANG Wen-diSchool of Mathematics and Finance,Southwest China Normal University,Chongqing ,China. Asymptotic Behavior of Two-Sex Predator-Prey Model[J]. Journal of southwest china normal university(natural science edition), 2005, 30(1): 13-17 |
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| Authors: | ZHANG Tian-ran WANG Wen-diSchool of Mathematics Finance Southwest China Normal University Chongqing China |
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| Affiliation: | ZHANG Tian-ran,WANG Wen-diSchool of Mathematics and Finance,Southwest China Normal University,Chongqing 400715,China |
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| Abstract: | The asymptotic behavior of a predator-prey system is studied with assumptions that birth and death rates for male and female prey are different and that the functional response is of Holling II type. Conditions for global stability of boundary equilibrium and conditions for the permanence of prey and predator are obtained. Computer simulation shows that the existence of predator will not change the sexual ratio of prey in the end. |
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| Keywords: | predator-prey model global stability equilibrium bifurcation permanence |
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