https://doi.org/10.1007/s100510050199
Simulation of chaotic behaviour in population dynamics
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
Corresponding author: a atbernar@fisica.ufmg.br
Received:
5
August
1997
Revised:
8
November
1997
Accepted:
13
November
1997
Published online: 15 February 1998
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 λ 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
