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

共 50 条

[1] Periodic Solutions for the Degenerate Lotka–Volterra Competition System
Haochuan Huang
Rui Huang
Liangwei Wang
Jingxue Yin
Qualitative Theory of Dynamical Systems, 2020, 19
[2] Periodic solutions of competition Lotka-Volterra dynamic system on time scales
Zhang, Liang
Li, Hong-Xu
Zhang, Xiao-Bing
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (07) : 1204 - 1211
[3] Periodic solutions for delay Lotka-Volterra competition systems
Li, YK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (01) : 230 - 244
[4] Almost periodic solutions of a discrete Lotka-Volterra competition system with delays
Li, Zhong
Chen, Fengde
He, Mengxin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2344 - 2355
[5] Periodic solutions of a periodic Lotka-Volterra system with delays
Huo, HF
Li, WT
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) : 787 - 803
[6] On the periodic Lotka-Volterra competition model
Eilbeck, JC
LopezGomez, J
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 210 (01) : 58 - 87
[7] On the periodic Lotka-Volterra competition model
Heriot-Watt Univ, Edinburgh, United Kingdom
J Math Anal Appl, 1 (58-87):
[8] PERIODIC LOTKA-VOLTERRA COMPETITION EQUATIONS
CUSHING, JM
JOURNAL OF MATHEMATICAL BIOLOGY, 1986, 24 (04) : 381 - 403
[9] Stability and bifurcation periodic solutions in a Lotka-Volterra competition system with multiple delays
Zhang, Jia-Fang
NONLINEAR DYNAMICS, 2012, 70 (01) : 849 - 860
[10] INVASION ENTIRE SOLUTIONS IN A TIME PERIODIC LOTKA-VOLTERRA COMPETITION SYSTEM WITH DIFFUSION
Du, Li-Jun
Li, Wan-Tong
Wang, Jia-Bing
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2017, 14 (5-6) : 1187 - 1213

← 1 2 3 4 5 →