Geodesic
Formation of quasistationary domain structures in a competing species model
Matematičeskoe modelirovanie, Tome 8 (1996) no. 2, pp. 37-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. B. Goryachev and A. A. Polezhaev and D. S. Chernavskii},
     title = {Formation of quasistationary domain structures in a~competing species model},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {37--47},
     year = {1996},
     volume = {8},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_2_a3/}
}
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A. B. Goryachev; A. A. Polezhaev; D. S. Chernavskii. Formation of quasistationary domain structures in a competing species model. Matematičeskoe modelirovanie, Tome 8 (1996) no. 2, pp. 37-47. http://geodesic.mathdoc.fr/item/MM_1996_8_2_a3/