Migração e Sincronismo em certos Modelos Populacionais

J.A. Barrionuevo, J.A. Silva

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.




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

Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM

Refbacks

  • There are currently no refbacks.



Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

Indexed in:

                       

         

 

Desenvolvido por:

Logomarca da Lepidus Tecnologia