Periodic Solutions for the Degenerate Lotka-Volterra Competition System

被引：3

作者：

Huang, Haochuan ^{[1
]}

Huang, Rui ^{[2
]}

Wang, Liangwei ^{[3
]}

Yin, Jingxue ^{[2
]}

机构：

[1] Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

[3] Chongqing Three Gorges Univ, Coll Math & Stat, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404100, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2020年 / 19卷 / 02期

关键词：

Lotka-Volterra; Competition; Degenerate; Periodic solutions; ASYMPTOTIC STABILITY; DIFFUSION; BEHAVIOR; EQUATION;

D O I：

10.1007/s12346-020-00409-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider periodic solutions for the degenerate Lotka-Volterra competition system. We use the iteration method and energy method to prove the existence of periodic solutions. Furthermore, we give some numerical simulations and explicit solutions to verify our theoretical results. As far as we know, there are no results about the periodic solutions for degenerate Lotka-Volterra competition system before the present work.

引用

页数：35

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