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
Recommended Citation
Blackmore, Denis; Chen, Jerry; Perez, John; and Savescu, Michelle, "Dynamical properties of discrete Lotka-Volterra equations" (2001). Faculty Publications. 15250.
https://digitalcommons.njit.edu/fac_pubs/15250