Global attractivity of positive periodic solution for a Volterra model

被引：5

作者：

Wang, Kai ^{[1
]}

Zhu, Yanling ^{[1
]}

机构：

[1] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 02期

关键词：

mutual interference; Holling II type functional response; global attractivity; positive periodic solution; Mawhin's continuation theorem; Lyapunov functional;

D O I：

10.1016/j.amc.2008.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by utilizing Mawhin's continuation theorem and constructing suitable Lyapunov functional, a Volterra model with mutual interference and Holling II type functional response is studied. Some sufficient conditions are obtained for the existence, uniqueness and global attractivity of positive periodic solution of the model. Furthermore, the conditions are related to the interference constant m and an example is illustrated to verify the results by using Maple. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：493 / 501

页数：9

共 8 条

[1] The permanence and global attractivity of Lotka-Volterra competition system with feedback controls [J].

Chen, FD .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (01) :133-143

[2]

Chen L, 1988, Mathematical Ecological Models and Research Methods

[3] Development of quality of care indicators for Parkinson's disease [J].

Cheng, EM ;

Siderowf, A ;

Swarztrauber, K ;

Eisa, M ;

Lee, M ;

Vickrey, BG .

MOVEMENT DISORDERS, 2004, 19 (02) :136-150

[4]

Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537

[5]

Gopalasamy K., 1992, STABILITY OSCILLATIO

[6] DENSITY-DEPENDENCE IN SINGLE-SPECIES POPULATIONS [J].

HASSELL, MP .

JOURNAL OF ANIMAL ECOLOGY, 1975, 44 (01) :283-295

[7]

Teng Z.D., 1997, ANN DIFFERENTIAL EQU, V13, P275

[8]

滕志东, 1998, [数学物理学报. A辑, Acta Mathematica Scientia], V18, P402

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