| 带有年龄结构的捕食者-食饵模型研究 |
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| 引用本文： | 郑立飞,赵惠燕.带有年龄结构的捕食者-食饵模型研究[J].生物数学学报,2011(1):48-56. |
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| 作者姓名： | 郑立飞 赵惠燕 |
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| 作者单位： | [1]西北农林科技大学理学院,陕西杨凌712100 [2]西北农林科技大学植保学院,陕西杨凌712100 |
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| 基金项目： | Special Talents Fund of Northwest A＆F University（No.z111020907）; The National Natural Science Foundation of China（No.39970112 and 30470268） |
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| 摘 要： | 研究带有年龄结构的捕食者-食饵模型的渐近行为.本文所研究的模型假定捕食者从幼年阶段到成年阶段的转变率依赖于幼年种群的密度,还假定幼年捕食者捕食食饵.本文最终给出了有年龄结构的捕食者-食饵模型的捕食者持久和灭绝的若干条件.
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| 关 键 词： | 年龄结构 持久 稳定性 平衡点 |
Research on A Predator-Prey Model with Age-Structure |
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| ZHENG Li-fei,ZHAO Hui-yan.Research on A Predator-Prey Model with Age-Structure[J].Journal of Biomathematics,2011(1):48-56. |
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| Authors: | ZHENG Li-fei ZHAO Hui-yan |
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| Institution: | 1 Department of Applied Mathematics and College of Plant Protection,Northwest A and F University, Yangling Shan＇xi 712100 China) (2 College of Plant Protection,Northwest A and F University,Yangling Shan＇xi 712100 China) |
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| Abstract: | This paper studies the asymptotic behavior of a predator-prey system with age structure.It is assumed that the transition rate from immature stage to mature stage depends on the density of immature individuals.Also,the larva predator is assumed to consume prey.Conditions for the permanence and extinction of the predator are obtained. |
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| Keywords: | Age structure Permanence Stability Equilibria |
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