含时滞非线性扩散合作系统的正周期解存在性与全局吸引性

艾合麦提·麦麦提阿吉

doi:10.13568/j.cnki.651094.2019.01.001

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含时滞非线性扩散合作系统的正周期解存在性与全局吸引性

更新时间：2026-01-21

- 含时滞非线性扩散合作系统的正周期解存在性与全局吸引性
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 36, Issue 1, Pages: 1-10(2019)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2019.01.001
  CLC： O175
- Published：2019
- 稿件说明：
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[1]艾合麦提·麦麦提阿吉.含时滞非线性扩散合作系统的正周期解存在性与全局吸引性[J],2019,36(01):1-10.
[1]艾合麦提·麦麦提阿吉.含时滞非线性扩散合作系统的正周期解存在性与全局吸引性[J],2019,36(01):1-10. DOI： 10.13568/j.cnki.651094.2019.01.001.

DOI：10.13568/j.cnki.651094.2019.01.001.

摘要

种群动力学模型的正周期解存在性与全局吸引性研究目前已成为现代生物数学理论研究的热点课题之一.本文对具有分布时滞和非线性扩散的两种群合作的系统进行了研究

并通过应用重合度理论和构造适当的Lyapunove泛函得到了周期系统的正周期解的存在性与全局吸引性的充分条件.

Abstract

The existence and global attractivity of positive periodic solution for a population dynamical systems have already become one of the hotspot of the study of modern mathematical biology. In this paper

two species cooperative Lotka-Volterra nonlinear diffusion system with distributed delays is considered. Some sufficient conditions for the existence and global attractivity of the positive periodic solution are established by using the continuation theorem and the Lyapunov function method.

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references

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