Analytical properties and exact solutions of the Lotka-Volterra competition system

被引：9

作者：

Kudryashov, Nikolay A. ^{[1
]}

Zakharchenko, Anastasia S. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPHI, Dept Appl Math, Moscow 115409, Russia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 254卷

基金：

俄罗斯科学基金会;

关键词：

Lotka-Volterra competition system; Exact solution; Nonlinear differential equation; System of equations; Reaction-diffusion equations; Logistic-function method; TRAVELING-WAVE SOLUTIONS; NONLINEAR DIFFERENTIAL-EQUATIONS; KURAMOTO-SIVASHINSKY EQUATION; LINEAR EVOLUTION-EQUATIONS; QUASI-EXACT SOLUTIONS; DIFFUSION EQUATIONS; SIMPLEST EQUATION; NONLOCAL DELAYS; P-TYPE; EXISTENCE;

D O I：

10.1016/j.amc.2014.12.113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Lotka-Volterra competition system with diffusion is considered. The Painleve property of this system is investigated. Exact traveling wave solutions of the Lotka-Volterra competition system are found. Periodic solutions expressed in terms of the Weierstrass elliptic function are also given. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：219 / 228

页数：10

共 50 条

[1] EXACT-SOLUTIONS OF GENERALIZED LOTKA-VOLTERRA COMPETITION EQUATIONS
ABDELKADER, MA
INTERNATIONAL JOURNAL OF CONTROL, 1982, 35 (01) : 55 - 62
[2] Periodic Solutions for the Degenerate Lotka-Volterra Competition System
Huang, Haochuan
Huang, Rui
Wang, Liangwei
Yin, Jingxue
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (02)
[3] Positive solutions for Lotka-Volterra competition system with diffusion
Yamada, Y
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (09) : 6085 - 6096
[4] Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
Cherniha, Roman
Davydovych, Vasyl'
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (5-6) : 1238 - 1251
[5] Numerical solutions of a three-competition Lotka-Volterra system
Pao, C. V.
Wang, Yuan-Ming
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) : 423 - 440
[6] APPROXIMATE SOLUTIONS TO LOTKA-VOLTERRA COMPETITION EQUATIONS
BREARLEY, JR
SOUDACK, AC
INTERNATIONAL JOURNAL OF CONTROL, 1978, 27 (06) : 933 - 941
[7] Diffusive Lotka-Volterra system: Lie symmetries and exact and numerical solutions
Cherniha R.M.
Dutka V.A.
Ukrainian Mathematical Journal, 2004, 56 (10) : 1665 - 1675
[8] Internal exact controllability of the Lotka-Volterra system
Dong, Wangyuan
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 97 - 101
[9] 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
[10] 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

← 1 2 3 4 5 →