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On the evolution of migrating population with two competing species

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Języki publikacji
EN
Abstrakty
EN
A computer experiment study of population evolution and its dynamics is presented for two competing species (A and B) which share two habitats (1 and 2) of a limited environmental capacity. The Penna model of biological aging, based on the concept of defective mutation accumulation, was adopted for migrating population. In this paper, we assume and concentrate on the case when only one species (A) is mobile. For isolated habitats and for any initial population, we get at equilibrium spatial population distribution (A, B) in which A occupies location ’1’ only, while B-species is the ultimate winner in ’2’. This is achieved by suitable choice of model parameters so habitat ’1’ is more attractive for species ’A’ while location ’2’ is more advantageous to ’B’. However, population distribution begins to differ when migration between habitats is allowed. Initially stable distribution (A, B), becomes (A, A&B) with a mixed stationary population in location ’2’. For a higher migration rate, initial (A, B) distribution goes to (A, A) distribution, in which A species is dominant also in a less friendly habitat ’2’. However, a further increase in migration rate brings sequence (A, B)b(B, B). In short, for sufficiently high mobility of A-species, they eliminate themselves. Other scenarios not discussed here were also studied. They offer a rich variety of different sequences of population distribution regarding their size as well as other characteristics.
Wydawca
Czasopismo
Rocznik
Strony
615--627
Opis fizyczny
Bibliogr. 12 poz., rys.
Twórcy
  • University of Agriculture, Krakow, Poland
  • The School of Banking and Management, Krakow, Poland
Bibliografia
  • [1] Brown D., Rolhery P.:Models in Biology: Mathematics, Statistics and Computing. Wiley, New York, 1993.
  • [2] D. Stauffer, S. Moss de Oliveira, P. M. C. de Oliveira, J. S. S ́a Martins, Biology, Sociology, Geology by Computational Physicist, Elsevier, Oxford, 2006.
  • [3] Penna T. J. P.: J. Stat. Phys., vol. 78, pp. 1629, 1995.
  • [4] Moss S. de Oliveira, P. M. C. de Oliveira, Stauffer D.: Evolution, Money, War and Computers. Teubner, Stuttgart-Leipzig, 1999.
  • [5] Lotka A. J.: Elements of Mathematical Biology. Dover, New York, 1956.
  • [6] Hofbauer J., Sigmund K.: Evolutionary Games and Population Dynamics. Cabridge University Press, Cambridge, 1998.
  • [7] Ngoc D. N., Parra R. B. de la, Zavala M. A., Auger P.: Competition and species coexistence in a metapopulation model: can fast asymmetric migration reverse the outcome of competition in a homogeneous environment? J. Theor Biol. vol. 266 pp. 256–263, 2010.
  • [8] Coe J. B., Mao Y.: Phys Rev. E, vol. 67, pp. 061909, 2003.
  • [9] Magdoń-Maksymowicz M. S.: Theory in Biosciences, vol. 127, pp. 335, 2008.
  • [10] Astalos R. J.,Zia R. K. P.: Interspecies Competition in the Penna Model.. American Physical Society, Annual March Meeting, March 20–24, 2000 Minneapolis, MN.
  • [11] Zia R. K. P., Astalos R. J.: Statistics of an Age Structured Population with Two Competing Species: Analytic and Monte Carlo Studies. Springer Proceedings in Physics, vol. 89, pp. 235–254, 2002.
  • [12] Magdoń M. S.: Int. J. Modern Physics C, vol. 10, pp. 1163, 1999
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6fc91864-4ee3-4a3a-8209-a47a3417d58b
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