具有阶段结构的两种群竞争系统的周期解(英文) 被引量：3

Permanence and Periodic Solution for a Two-Species Competitive System with Stage Structure

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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. 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.

作者张玉娟王红丽

机构地区鞍山师范学院数学系大连理工大学数学科学学院大连大学信息工程学院

出处《生物数学学报》 CSCD 北大核心 2011年第1期25-33,共9页 Journal of Biomathematics

基金 Supported by the Nationsl Natural Science Foundation of China (10171106)

关键词竞争系统持续生存阶段结构周期解 Competitive system Permanence Stage structure Periodic solution

分类号 O175.12 [理学—基础数学]

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参考文献21

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二级参考文献4

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