Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions

Yi-Jin Zhang; Chang-You Wang

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Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions

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

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In this paper, almost periodic solution of a n-species Lotka-Volterra competition system with grazing rates and diffusions is investigated. By using the method of upper and lower solutions and Schauder fixed point theorem as well as Lyapunov stability theory, we give sufficient conditions under which the strictly positive space homogeneous almost periodic solution of the system is globally asymptotically stable. Moreover, some numerical simulations are given to validate our theoretical analysis.

机译：本文研究了具有放牧率和扩散的n种群Lotka-Volterra竞争系统的概周期解。通过使用上下解方法和Schauder不动点定理以及Lyapunov稳定性理论，我们给出了充分的条件，在这种条件下，系统的严格正空间齐性几乎周期解是全局渐近稳定的。此外，通过一些数值模拟来验证我们的理论分析。

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《International journal of biomathematics》 |2014年第2期|共11页
作者
Yi-Jin Zhang; Chang-You Wang;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Grazing rate; competition model; diffusion; almost periodic solution; stability.;

机译：放牧率;竞争模型;扩散;几乎周期解;稳定性;

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专利

1. 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
2. Stability analysis of three-species almost periodic competition models with grazing rates and diffusions [J] . Wang C.-Y., Wang R.-F., Yi M., Discrete dynamics in nature and society . 2011,第Pta2期

机译：具有放牧率和扩散的三种群几乎周期竞争模型的稳定性分析
3. Stability Analysis of Three-Species Almost Periodic Competition Models with Grazing Rates and Diffusions [J] . Chang-youWang, Rui-fangWang, MingYi, Discrete dynamics in nature and society . 2011,第1期

机译：具有放牧率和扩散的三种种群几乎周期竞争模型的稳定性分析
4. EXISTENCE AND STABILITY FOR PERIODIC SOLUTION OF COMPETITION REACTION-DIFFUSION MODELS [C] . Liu Yongqing, Xie Shengli Proceedings of the 13th world congress . 1997

机译：竞争反应扩散模型周期解的存在性和稳定性
5. The effects of diffusion and spatial variation in the Lotka-Volterra competition-diffusion system. [D] . He, Xiaoqing. 2013

机译：Lotka-Volterra竞争扩散系统中扩散和空间变化的影响。
6. Existence Uniqueness and Asymptotic Stability of Time Periodic Traveling Waves for a Periodic Lotka-Volterra Competition System with Diffusion [O] . Guangyu Zhao, Shigui Ruan -1

机译：随着时间的连续的Lotka-Volterra竞争系统存在唯一性和渐近稳定性的存在唯一性和渐近稳定性
7. Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion [O] . De-han Chen, Daijun jiang 2021

机译：Tikhonov正规化在利用扩散中恢复Lotka-Volterra竞争模型中增长率的融合率

Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions

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