| 具有阶段结构的两种群竞争系统的周期解 |
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| 引用本文： | 张玉娟,王红丽.具有阶段结构的两种群竞争系统的周期解[J].生物数学学报,2011(1):25-33. |
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| 作者姓名： | 张玉娟 王红丽 |
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| 作者单位： | [1]鞍山师范学院数学系,辽宁鞍山114007 [2]大连理工大学数学科学学院,辽宁大连116024 [3]大连大学信息工程学院,辽宁大连116622 |
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| 基金项目： | Supported by the Nationsl Natural Science Foundation of China （10171106） |
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| 摘 要： | 本文研究了具有阶段结构的两种群竞争系统的渐近行为.我们得到了系统持续生存的条件.由Brouwer不动点定理和李亚普诺夫函数,我们证明相应的周期系统在满足一定的条件下,存在一个唯一的全局渐近稳定的正周期解.最后我们把没有阶段结构的系统与有阶段结构的系统进行了比较.
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| 关 键 词： | 竞争系统 持续生存 阶段结构 周期解 |
Permanence and Periodic Solution for a Two-Species Competitive System with Stage Structure |
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| ZHANG Yu-juan,WANG Hong-li.Permanence and Periodic Solution for a Two-Species Competitive System with Stage Structure[J].Journal of Biomathematics,2011(1):25-33. |
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| Authors: | ZHANG Yu-juan WANG Hong-li |
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| Institution: | 1 Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007 China) (2 School of Mathematics Science,Dalian Unversity of Technology,Dalian Liaoning 116024 China) (3 School of Information Engineering,Dalian University,Dalian Liaoning 116622 China) |
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| Abstract: | This paper studies the asymptotic behavior of a two-species competitive system with stage structure.We obtain conditions for the permanence of the system. By means of Brouwer fixed-point theorem and Lyapunov function,we show that there is a unique globally asymptotically stable positive periodic solution with respect to the corresponding periodic system under some appropriate conditions.Finaly,we compare the two species competitive system without stage structure with the system with stage structure. |
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| Keywords: | Competitive system Permanence Stage structure Periodic solution |
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