Dynamical properties of discrete Lotka-Volterra equations

Document Type

Article

Publication Date

1-1-2001

Abstract

A discrete version of the Lotka-Volterra differential equations for competing population species is analyzed in detail in much the same way as the discrete form of the logistic equation has been investigated as a source of bifurcation phenomena and chaotic dynamics. It is found that in addition to the logistic dynamics - ranging from very simple to manifestly chaotic regimes in terms of governing parameters - the discrete Lotka-Volterra equations exhibit their own brands of bifurcation and chaos that are essentially two-dimensional in nature. In particular, it is shown that the system exhibits "twisted horseshoe" dynamics associated with a strange invariant set for certain parameter ranges. © 2001 Elsevier Science Ltd.

Identifier

0035480497 (Scopus)

Publication Title

Chaos Solitons and Fractals

External Full Text Location

https://doi.org/10.1016/S0960-0779(00)00214-9

ISSN

09600779

First Page

2553

Last Page

2568

Issue

13

Volume

12

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