Geodesic
Leader in a diffusion competition model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 429-434

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A one-dimensional Cauchy problem is considered for a system of reaction-diffusion equations that, in the point version, generalizes the Volterra competition model. It is proved that the number of the leader in the propagation velocity of nonvanishing solution values at the periphery is independent of nonnegative finite initial distributions. 
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     author = {V. N. Razzhevaikin},
     title = {Leader in a diffusion competition model},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {429--434},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a6/}
}
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V. N. Razzhevaikin. Leader in a diffusion competition model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 3, pp. 429-434. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_3_a6/