On perturbation of the Lotka-Volterra model

被引：0

作者：

El-Owaidy, H. ^{[1
]}

Al-Thumairi, A. ^{[1
]}

机构：

[1] Riyadh Univ Girls, Dept Sci, Riyadh 11595, Saudi Arabia

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 04期

关键词：

Perturbation; Lotka-Volterra; Stability; Equilibria; PREDATOR; CHAOS;

D O I：

10.1016/j.aml.2008.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a general perturbed model is investigated and equilibrium is analyzed. The Lotka-Volterra version of the known system is considered. Local and global stability are established. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：557 / 560

页数：4

共 6 条

[1]

[Anonymous], 1995, THEORY CHEMOSTAT DYN

[2] PERIODIC TIME-DEPENDENT PREDATOR-PREY SYSTEMS [J].

CUSHING, JM .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) :82-95

[3] Seasonally perturbed prey-predator system with predator-dependent functional response [J].

Gakkhar, S ;

Naji, RK .

CHAOS SOLITONS & FRACTALS, 2003, 18 (05) :1075-1083

[4]

HALE J. K., 1969, Ordinary Differential Equations

[5] CHAOS IN A PERIODICALLY FORCED PREDATOR-PREY ECOSYSTEM MODEL [J].

SABIN, GCW ;

SUMMERS, D .

MATHEMATICAL BIOSCIENCES, 1993, 113 (01) :91-113

[6] Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator [J].

Tang, SY ;

Chen, LS .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (04) :973-980

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