  
|
    
|
The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 3 (1998) pp 393-396
Simulation of chaotic behaviour in population dynamics
A.T. Bernardes (1) (a), J.-G. Moreira (2), A. Castro-e-Silva (2)
(1) Departamento de Física, Universidade Federal de Ouro Preto, Campus do Morro do Cruzeiro, 35.400-000, Ouro Preto/MG, Brazil
(2) Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Caixa Postal 702, 30.123-970, Belo Horizonte/MG, Brazil
Received: 5 August 1997 / Revised: 8 November 1997 / Accepted: 13 November 1997
Abstract: In the time evolution of populations, many attractors can be found: fixed points, limit cycles and chaotic regimes. Usually, chaotic behaviour is observed in species which have well defined breeding seasons and a high fertility rate. Different mathematical models have been used in order to simulate those regimes. In this paper, we use the bitstring model introduced to simulate the evolution of age-structured populations -- the Penna Model -- to simulate a sort of cyclic and chaotic behaviours. In comparison with the standard logistic map, our results show a time changing $\lambda$parameter.
PACS. 87.10.+e General, theoretical, and mathematical biophysics (including logic of biosystems, quantum biology, and relevant aspects of thermodynamics, information theory, cybernetics, and bionics) - 05.45.+b Theory and models of chaotic systems - 02.70.Lq Monte Carlo and statistical methods
(a) email: atbernar@fisica.ufmg.br
Online publication: February 24, 1998
helpdesk@link.springer.de
© EDP Sciences, Springer-Verlag 1998