Dynamic Properties of the Predator-Prey Discontinuous Dynamical System

被引：1

作者：

El-Sayed, Ahmed M. A. ^{[2
]}

Nasr, Mohamed E. ^{[1
]}

机构：

[1] Benha Univ, Fac Sci, Banha 13518, Egypt

[2] Univ Alexandria, Fac Sci, Alexandria, Egypt

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2012年 / 67卷 / 1-2期

关键词：

Discontinuous Dynamical Systems; Predator-Prey Discontinuous Dynamical System; Existence and Uniqueness; Uniform and Local Stability; Equilibrium Points; Chaos and Bifurcations; BIFURCATION; STABILITY; MODEL;

D O I：

10.5560/ZNA.2011-0051

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this work, we study the dynamic properties (equilibrium points, local and global stability, chaos and bifurcation) of the predator-prey discontinuous dynamical system. The existence and uniqueness of uniformly Lyapunov stable solution will be proved.

引用

页码：57 / 60

页数：4

共 10 条

[1] Chaotic dynamics of a discrete prey-predator model with Holling type II [J].