Title

On Bifurcations And Chaos In Predator-Prey Models With Delay

Abstract

The stability of the fixed-points of general predator-prey models with Volterra-type distributed delays in the interspecies interaction terms is considered. For general functional forms of prey birth rate and predator death rate and the weak generic kernel or memory function a exp (-at), a supercritical Hopf bifurcation is shown to occur at a critical value a0 of the parameter a dependent on the system parameters. For four different models, parameter regimes for dissipativity (contraction of phase-space volume) and stable/unstable ranges of a are determined. The four models are integrated numerically, and chaotic regimes are characterized by computing power spectra, autocorrelation functions, and fractal dimensions. © 1992.

Publication Date

1-1-1992

Publication Title

Chaos, Solitons and Fractals

Volume

2

Issue

4

Number of Pages

393-409

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0960-0779(92)90015-F

Socpus ID

0027040081 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0027040081

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