Periodic solution of a two-species competitive system with toxicant and birth pulse

被引:45
作者
Liu, Zhijun [1 ]
Chen, Lansun
机构
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China
[2] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2005.12.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the existence of positive periodic solution of two-species competitive system with toxicant and birth pulse. A set of easily verifiable sufficient conditions are derived for the existence of at least one positive periodic solution of the above system by using the method of coincidence degree. Numerical simulations are also presented to illustrate the feasibility of our main results. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1703 / 1712
页数:10
相关论文
共 19 条
[1]  
Bainov D, 1993, IMPULSIVE DIFFERENTI
[2]   Effect of toxic substances on a two-species competitive system [J].
Chattopadhyay, J .
ECOLOGICAL MODELLING, 1996, 84 (1-3) :287-289
[3]  
CUI J, 1993, ANN DIFFERENTIAL EQU, V9, P11
[4]  
FAN M, 2001, ACTA MATH SINICA, V44, P437
[5]   MODELS FOR THE EFFECT OF TOXICANT IN SINGLE-SPECIES AND PREDATOR-PREY SYSTEMS [J].
FREEDMAN, HI ;
SHUKLA, JB .
JOURNAL OF MATHEMATICAL BIOLOGY, 1991, 30 (01) :15-30
[6]  
Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[7]   NON-AUTONOMOUS LOGISTIC EQUATIONS AS MODELS OF POPULATIONS IN A DETERIORATING ENVIRONMENT [J].
HALLAM, TG ;
CLARK, CE .
JOURNAL OF THEORETICAL BIOLOGY, 1981, 93 (02) :303-311
[8]   The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive [J].
Jin, Z ;
Zhien, M ;
Maoan, H .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :181-188
[9]  
Laksmikantham V., 1989, THEORY IMPULSIVE DIF
[10]   Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation [J].
Lenci, S ;
Rega, G .
CHAOS SOLITONS & FRACTALS, 2000, 11 (15) :2453-2472