Migração e Sincronismo em certos Modelos Populacionais

Authors

  • J.A. Barrionuevo
  • J.A. Silva

DOI:

https://doi.org/10.5540/tema.2006.07.02.0201

Abstract

Neste trabalho obtemos condições suficientes para a estabilidade das órbitas sincronizadas de sistemas dinâmicos acoplados provenientes de modelos populacionais com a migração dependente da densidade.

References

[1] J.C. Allen, W.M. Schaffer, D. Rosko, Chaos reduces species extinction by amplifying local population noise, Nature, 364 (1993), 229-232.

D.J.D. Earn, S. Levin, P. Rohani, Coherence and conservation, Science, 290 (2000), 1360-1364.

Enfjäl, O. Leimar, Density-dependent dispersal in the Glanville fritillary, Melitaea cinxia, Oikos, 108 (2005), 465-472.

R.V. Solé, J.P. Gamarra, Chaos, dispersal ans extintion in coupled ecosystems, J. Theor. Biol., 193 (1998), 539-541.

F. Giordani, J. Silva, Sincronização em metapopulações com migração dependente da densidade, submetido, 2005.

I. Hanski, M. Gilpin, “Metapopulation Biology: Ecology Genetics and Evolution”, Academic Press, London 1997.

M. Heino, V. Kaitala, E. Ranta, Lindstr¨om, J., Synchronous dynamics and rates of extiction in spatially structured populations. Proc. R. Soc. London B, 264 (1997), 481-486.

A. Householder, “The Theory of Matrices in Numerical Analysis”, Dover, New York, 1964.

Y. Huang, O. Diekmann, Interspecific influence on mobility and Turing instability, Bull. Math. Biol., 65 (2003), 143-156.

S.R.J. Jang, A.K. Mitra, Equilibrium stability of single species metapopulations, Bull. Math. Biol., 62 (2000), 155-161.

T. Kato, “Perturbation Theory for Linear Operators”, Springer Verlag, New York, 1995.

A. Katok, B. Hasselblatt, “Introduction to the Modern Theory of Dynamical Systems”, Cambridge Univ. Press, New York, 1995.

B. Kendall, G. Fox, Spatial Structure, Environmental Heterogenity, and Population Dynamics: Analysis of the Coupled Logistic Map, Theoretical Population Biology, 54, 1998.

E. Matthysen, Density-dependent dispersal in birds and mammals, Ecography, 28 (2005), 403-416.

W. Rudin, “Functional Analysis”, McGraw-Hill, 1973. Cambridge Univ. Press, New York, 1995.

D. Ruelle, Ergodic Theory of Differentiable Dynamical Systems, Publ. Math. IHES, 50 (1979), 27-58.

J. Silva, M. Castro, D. Justo, Stability in a metapopulation model with densitydependent dispersal, Bull. Math. Biol., 63 (2001).

J. Silva, M. Castro, D. Justo, Synchronism in a metapopulation model, Bull. Math. Biol., 62 (2000).

D. Tilman, P. Kareiva, “Spatial Ecology: the role of space in population dynamics and interspecific interactions”. Princeton University Press, 1997.

J. Ylikarjula, S. Alaja, J. Laakso, D. Tesar, Effects of patch number and dispersal patterns on population dynamics and synchrony, J. Theor. Biol. 207 (2000), 377-387.

Downloads

Published

2006-06-01

How to Cite

Barrionuevo, J., & Silva, J. (2006). Migração e Sincronismo em certos Modelos Populacionais. Trends in Computational and Applied Mathematics, 7(2), 201–208. https://doi.org/10.5540/tema.2006.07.02.0201

Issue

Vol. 7 No. 2 (2006)

Section

Original Article

License

Copyright

Authors of articles published in the journal Trends in Computational and Applied Mathematics retain the copyright of their work. The journal uses Creative Commons Attribution (CC-BY) in published articles. The authors grant the TCAM journal the right to first publish the article.

Intellectual Property and Terms of Use

The content of the articles is the exclusive responsibility of the authors. The journal uses Creative Commons Attribution (CC-BY) in published articles. This license allows published articles to be reused without permission for any purpose as long as the original work is correctly cited.

The journal encourages Authors to self-archive their accepted manuscripts, publishing them on personal blogs, institutional repositories, and social media, as long as the full citation is included in the journal's website version.