Mathematics & Physics 2015, 8(3), 340–342 УДК 517.9 Impact of Reflexivity on a Dynamics of a Population with Optimal Migration and Global Information Access Michael G. Sadovsky∗ Mariya Yu. <...> Senashova† Institute of Computational Modeling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Russia Received 10.05.2015, received in revised form 10.06.2015, accepted 20.07.2015 Comparison of reflexive vs. non-reflexive behaviour is provided, for the dynamics of globally informed beings in a community with optimal migration. <...> We shall suppose a community to consist of two stations (habitation entity) occupied with two species; migration is stipulated to be a transfer from station to station, exclusively. <...> Besides, the beings are supposed to have global access to information/knowledge on environmental conditions, subpopulation density, transfer cost etc. <...> The aim of the paper is to figure out the impact of reflexivity on the dynamics. <...> We start from a single species population subdivided into two subpopulations. <...> Let the dynamics of each subpopulation in migration-free case follows Verchult’s equation: Nt+1 = Nt (a−b ·Nt) ; Mt+1 =Mt (c−d ·Mt) , (1) where Nt and Mt are the abundances of the subpopulations in the time moment t, in station I and II , respectively; a and c are Malthusian parameters while b and d describe the density dependent regulation. <...> A migration (between the stations) runs if and only if the living conditions at the immigration station become better than these latter at the habitation station, with respect to transfer cost p. <...> The figure p, (0 p 1) is a probability of a successful transfer from station to station; i. e. the transfer that brings no harm for further reproduction. <...> The migration from station I to station II (and from II to I , respectively) starts, if: a−bNt < p · (c−dMt) ∗msad@icm.krasn.ru †msen@icm.krasn.ru Siberian Federal University. <...> Mathematics & Physics 2015, 8(3), 340–342 The number ∆ of beings migrating from station to station must equalize the inequality (2). <...> If the migration runs at the time moment t, then ∆ is defined by − → ∆ = minNt, a−bNt +pc−pdMt b+p2d ; ← ∆ = minMt, c−dMt +pa−pbNt d+p2b − . (3) So, the model works as following: for each t a migration conditions (2) are checked, and they <...>