Stability analysis of a non-autonomous Lotka-Volterra competition model with seasonal succession

Jinxian Li; Aimin Zhao

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Stability analysis of a non-autonomous Lotka-Volterra competition model with seasonal succession

机译：具有季节连续性的非自治Lotka-Volterra竞争模型的稳定性分析

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摘要

In this paper, a non-autonomous Lotka-Volterra competition model with seasonal succession is considered. By the stability analysis of equilibria and the theory of monotone dynamical system, the stability of equilibria and periodic solutions are investigated. Finally, the results in this paper are discussed from a new perspective.

机译：本文考虑了具有季节连续性的非自治Lotka-Volterra竞争模型。通过平衡的稳定性分析和单调动力系统理论，研究了平衡的稳定性和周期解。最后，从一个新的角度讨论了本文的结果。

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来源
《Applied Mathematical Modelling》 |2016年第2期|763-781|共19页
作者
Jinxian Li; Aimin Zhao;
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作者单位

School of Mathematical Sciences, Shanxi University, Taiyuan, People's Republic of China;

School of Mathematical Sciences, Shanxi University, Taiyuan, People's Republic of China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Lotka-Volterra model; Seasonal succession; Periodic solutions;

机译：Lotka-Volterra模型;季节性继承;定期解决方案;

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专利

1. A Lotka-Volterra competition model with seasonal succession [J] . Hsu S.-B., Zhao X.-Q. Journal of Mathematical Biology . 2012,第1a2期

机译：具有季节连续性的Lotka-Volterra竞争模型
2. Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions [J] . Yi-Jin Zhang, Chang-You Wang International journal of biomathematics . 2014,第2期

机译：具有放牧率和扩散的n种Lotka-Volterra概周期竞争模型的稳定性分析
3. Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions [J] . Yi-Jin Zhang, Chang-You Wang 生物数学学报：英文版 . 2014,第002期

机译：具有放牧率和扩散的n种Lotka-Volterra概周期竞争模型的稳定性分析
4. A Dynamic Competition Analysis on the Personal Computer Shipments in Taiwan Using Lotka-Volterra Model [C] . Su-Yun Chiang, Gwo-Gauang Wong, Yiming Li, IEEE Asia-Pacific Services Computing Conference . 2008

机译：利用Lotka-Volterra模型对台湾个人计算机出货量的动态竞争分析
5. Global Stability and Traveling Wave Solutions for a Two-competing-prey and One-predator Lotka-Volterra Model [D] . Wang, Cuiping. 2019

机译：具有两种竞争的捕食者和一类捕食者的Lotka-Volterra模型的全局稳定性和行波解决方案
6. Bistability in a system of two species interacting through mutualism as well as competition: Chemostat vs. Lotka-Volterra equations [O] . Stefan Vet, Sophie de Buyl, Karoline Faust, 2012

机译：两个物种通过相互影响和竞争相互作用的系统中的双稳态：Chemostat与Lotka-Volterra方程
7. Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model [O] . Grégory Faye, Matt Holzer 2020

机译：Lotka-Volterra竞争模型中临界前线的渐近稳定性

Stability analysis of a non-autonomous Lotka-Volterra competition model with seasonal succession

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