A Estabilidade do Estado Homogêneo em Metapopulações com Estrutura Etária

Authors

  • M.L. de CASTRO
  • J.A.L. da SILVA

DOI:

https://doi.org/10.5540/tema.2002.03.02.0073

Abstract

Neste trabalho obtemos um modelo discreto para uma metapopulação com estrutura etária. Mostramos que um mecanismo de migração dependente so- mente da idade dos indivíduos não pode vir a estabilizar o ponto de equilíbrio homogêneo de um sistema previamente instável na ausência de migração, mas pode tornar instável um conjunto desacoplado de populações estáveis, o que caracteriza a migração como um processo desestabilizador.

References

[1] M.L. Castro, O Efeito da Migração sobre a Homogeneidade em Metapopulações", Dissertação de Mestrado, Universidade Federal do Rio Grande do Sul, 2001.

A. Hastings, Age dependent dispersal is not a simple process: density depen- dence, stability, and chaos, Theor. Pop. Biol., 41 (1992), 388-400.

E.I. Jury, The inners approach to some problem of system theory, IEEE Trans. Automatic Contr., 16 (1971), 233-240.

P. Lancaster and M. Tismenetsky, The Theory of Matrices", Academic Press, London, 1985.

P. Rohani, R.M. May and M.P. Hassel, Metapopulation and equilibrium sta- bility: the e®ects of spatial structure, J. Theor. Biol., 181 (1996), 97-109.

J.A.L. Silva, M.L. Castro and D.A.R. Justo, Stability in a density-dependent metapopulation model, Bull. Math. Biol., to appear.

J.A.L. Silva and T.G. Hallam, Compensation and stability in nonlinear matrix models, Mathematical Biosciences, 110 (1992), 67-101.

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Published

2002-06-01

How to Cite

de CASTRO, M., & da SILVA, J. (2002). A Estabilidade do Estado Homogêneo em Metapopulações com Estrutura Etária. Trends in Computational and Applied Mathematics, 3(2), 73–82. https://doi.org/10.5540/tema.2002.03.02.0073

Issue

Vol. 3 No. 2 (2002)

Section

Original Article

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