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Anomalous biennial oscillations in a Fisher equation with a discretized verhulst term

Walsh, Catherine, Ray, T. S. and Jan, Naeem 1995. Anomalous biennial oscillations in a Fisher equation with a discretized verhulst term. Journal of Statistical Physics 81 (3-4) , pp. 761-775. 10.1007/BF02179256

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Abstract

The dynamics of a biological population governed by a modified Fisher equation is studied by means of Monte Carlo simulations. Reproduction of the population occurs at discrete times, while transport caused by diffusion and conduction takes place on shorter time scales. The discrete reproduction, modeled with a set of coupled logistic maps, exhibits phenomena which are not evident in the usual continuum version of the Fisher equation. Several mechanisms for biennial oscillations of the total population are investigated. One of these shows an ordered coupling between random diffusive motion and the chaotic attractor of the logistic map.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Journalism, Media and Culture
Publisher: Springer
ISSN: 0022-4715
Date of Acceptance: 25 April 1995
Last Modified: 05 Dec 2017 10:16
URI: http://orca.cf.ac.uk/id/eprint/105751

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