Periodic Solutions for the Degenerate Lotka–Volterra Competition System

被引：0
作者：
Haochuan Huang
Rui Huang
Liangwei Wang
Jingxue Yin
机构：
[1] Foshan University,School of Mathematics and Big Data
[2] South China Normal University,School of Mathematical Sciences
[3] Chongqing Three Gorges University,Key Laboratory for Nonlinear Science and System Structure, College of Mathematics and Statistics
来源：
Qualitative Theory of Dynamical Systems | 2020年 / 19卷
关键词：
Lotka–Volterra; Competition; Degenerate; Periodic solutions; 35B10; 35K57; 35K65;
D O I：
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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.
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