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| 具有三个年龄阶段的自食单种群时滞模型的周期解 | |
| 引用本文： | 戴勇,邢铁军,雒志学,杜明银,魏平义.具有三个年龄阶段的自食单种群时滞模型的周期解[J].数学的实践与认识,2011,41(8). |
| 作者姓名： | 戴勇 邢铁军 雒志学 杜明银 魏平义 |
| 作者单位： | 1. 甘肃省酒泉中学,甘肃酒泉,735000 2. 兰州交通大学数理学院,甘肃兰州,730070 3. 河南理工大学万方科技学院(郑州校区),河南郑州,450000 |
| 摘 要： | 利用重合度理论中的延拓定理讨论了一个具有三个成长阶段的自食单种群时滞模型正周期解的存在性,得到了保证周期解存在的充分条件. |
| 关 键 词： | 阶段结构 重合度 周期解 自食 时滞 |
Positive Periodic Solution of the Models with Three Life Stage Structures, Cannibalism and Time Delay |
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| DAI Yong,XING Tie-jun,LUO Zhi-xue,DU Ming-yin,WEI Ping-yi.Positive Periodic Solution of the Models with Three Life Stage Structures, Cannibalism and Time Delay[J].Mathematics in Practice and Theory,2011,41(8). | |
| Authors: | DAI Yong XING Tie-jun LUO Zhi-xue DU Ming-yin WEI Ping-yi |
| Institution: | DAI Yong~1,XING Tie-jun~1,LUO Zhi-xue~2,DU Ming-yin~3,WEI Ping-yi~1 (1.Jiuquan Middle School of Gansu Province,Jiuquan 735000,China) (2.College of Mathematics,Physics & Software Engineering,Lanzhou Jiiaotong University,Lanzhou 730070,China) (3.Wanfang Institute of Science and Technology Henan Polytechnic University,Zhengzhou 450000,China) |
| Abstract: | By using a continuation theorem based on Ganies and Mawhin's coincidence degree, the authors study the global existence of positive periodic solution for a single species model with three life stage structure,cannibalism and time delay.Also,the sufficient conditions of the positive periodic solution are obtained. |
| Keywords: | stage structure coincidence degree periodic solution cannibalism time delay |
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