COMPLEX DYNAMICS ON HARDY-WEINBERG EQUILIBRIUM WITH MUTATION: A MATHEMATICAL MODEL

E-scientia

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ISSN: 19847688
Editor Chefe: Thiago Teixeira Mendes
Início Publicação: 31/12/2007
Periodicidade: Semestral
Área de Estudo: Multidisciplinar

COMPLEX DYNAMICS ON HARDY-WEINBERG EQUILIBRIUM WITH MUTATION: A MATHEMATICAL MODEL

Ano: 2011 | Volume: 4 | Número: 2
Autores: Marcos Teixeira Godinho, Sara Dalia Barbosa
Autor Correspondente: Marcos Teixeira Godinho | [email protected]

Palavras-chave: Hardy-Weinberg Law, Chaotic Dynamic, Logistic Map

Resumos Cadastrados

Resumo Inglês:

This paper shows that a small modification of the Hardy-Weinberg law will lead to a completely different
equilibrium. This new equilibrium is chaotic, in a mathematical sense. It is well known that dynamic difference or
differential equation models, which are characterized by nonlinearity, can present chaotic properties over nontrivial
ranges of values of their parameters. Chaotic orbit, besides its deterministic behavior, is undistinguishable from a
random process, or rather, a process perturbed by a random shock. Despite its complexity, in a certain range, the
model is stable, presenting a rich variety of behavior. The key point is that we do not need to attribute to a random
walk or statistical model or to a drift as an external force to act upon the population.