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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 1996 Volume 8, Number 2, Pages 37–47 (Mi mm1538)

Mathematical models and computer experiment

Formation of quasistationary domain structures in a competing species model

A. B. Goryacheva, A. A. Polezhaeva, D. S. Chernavskiib

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b P.N.Lebedev Physical Institute, the USSR Academy of Sciences

Abstract: The analysis is done for a distributed competing species model of Volterra–Lotka type. It is shown that in case interspecific competition exceeds intraspecific one the final state of the model evolution corresponds to the homogeneous monospecies habitat population even in the absence of ecological preferences. It is shown that sufficiently long living domain structure, in which each domain is preferably populated by one of species, can emerge in the intermediate stages of development. The spread of the mode! parameters where this phenomenon exists is outlined. Possible applications of the model to biology and other branches of science are discussed.

Received: 23.08.1994



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