Migração e Sincronismo em certos Modelos Populacionais
DOI:
https://doi.org/10.5540/tema.2006.07.02.0201Abstract
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
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.