Modeling and analysis of a periodic delayed two-species model of facultative mutualism

被引：33
作者：
Liu, Zhijun [1 ,2 ]
Wu, Jianhua [2 ]
Tan, Ronghua [1 ]
Chen, Yiping [1 ]
机构：
[1] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 02期
基金：
中国博士后科学基金;
关键词：
Facultative mutualism; Delay; Periodic solution; Globally asymptotic stability; DIFFERENTIAL-EQUATIONS; SYSTEM; PERMANENCE; ATTRACTIVITY; STABILITY;
D O I：
10.1016/j.amc.2010.06.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a periodic delayed two-species system modeling facultative mutualism. By using the method of coincidence degree and Lyapunov functional, easily verifiable sufficient conditions for the existence and globally asymptotic stability of positive periodic solutions of the above system. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：893 / 903
页数：11
相关论文
共 33 条
[21]   Periodic solution of neutral Lotka-Volteffa system with periodic delays [J].
Liu, Zhijun ;
Chen, Lansun .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) :435-451
[22]   Periodic solutions of a discrete time nonautonomous two-species mutualistic system with delays [J].
Liu, Zhijun ;
Chen, Lansun .
ADVANCES IN COMPLEX SYSTEMS, 2006, 9 (1-2) :87-98
[23]   On the existence of positive periodic solutions to a Lotka Volterra cooperative population model with multiple delays [J].
Lu, Shiping .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (06) :1746-1753
[24]  
McKey D., 1975, COEVOLUTION ANIMALS, P159
[25]   Permanence and global attractivity for facultative mutualism system with delay [J].
Mukherjee, D .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (01) :1-9
[26]  
ODUM E P, 1971, P574
[27]   ENHANCEMENT OF ALGAL GROWTH AND PRODUCTIVITY BY GRAZING ZOOPLANKTON [J].
PORTER, KG .
SCIENCE, 1976, 192 (4246) :1332-1334
[28]   EVOLUTION OF MARINE SYMBIOSIS - SIMPLE COST-BENEFIT MODEL [J].
ROUGHGARDEN, J .
ECOLOGY, 1975, 56 (05) :1201-1208
[29]   ON THE ASYMPTOTIC-BEHAVIOR OF A CLASS OF DETERMINISTIC MODELS OF COOPERATING SPECIES [J].
SMITH, HL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1986, 46 (03) :368-375
[30]   DYNAMICS AND COMPARATIVE STATICS OF MUTUALISTIC COMMUNITIES [J].
TRAVIS, CC ;
POST, WM .
JOURNAL OF THEORETICAL BIOLOGY, 1979, 78 (04) :553-571
1234