V Belozyorov - Hierarchical heterogenity of populations modeling by the openeigen hypercycle - страница 4

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0 < m < Mi,

then all populations survive and occupy only part of eco­logical niche; a volume of this niche is N(1 + ai + aia2 + ... + a ... an_ ) < So.


Mi < M < то,

then populations (but not all) occupy whole ecological niche So; if

Mi < m < Mi+i, 1 < i < n - 1,

then populations 1, 2,n - i + 1 remain and populations n - 1, n - 2,i - 1 die out; when

Mn < M < то,

then only unique population survive and fill whole ecolog­ical niche So.


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VASILIY Ye. BELOZYOROV was born in Dnipropetro-

vsk, Ukraine graduated from the Dnipropetrovsk State University. Obtained PhD degree on mathematical system theory in 1986. From 1996 till 2009 was, suc­cessively, head of Applied Mathematics Department at Dnipropetrovsk National University. He is an Hon­oured Science Worker of Ukraine. In 2010 he became a professor of Computer Technologies Department, Dnipropetrovsk National University. His e-mail address is belozvye@mail.ru

SERGE V. CHERNYSHENKO was born in Dnipropetro-vsk, Ukraine and graduated from the Dnipropetrovsk State Uni-versity. After obtaining PhD degree on computing in 1986, was, successively, head of Laboratory of Mathe­matical Modeling in Biology, head of Computer Science Department, dean of Applied Mathematics Faculty at Dnipropetrovsk National University. He was a supervisor of several Ukrainian national projects on mathematical modeling. From 2009 he is a visiting professor of Koblenz-Landau University, Faculty of Informatics. His e-mail address is svc@a-teleport.com and his web-site can be found at www.uni-koblenz.de/ svc.


Dnipropetrovsk, Ukraine and graduated from the Dnipropetrovsk National University. Got PhD degree on Mathematical Modeling and Numerical Methods in 2009. Nowadays he is a docent at the Computer Soft­ware Department of the National Mining University of Ukraine. He is a member of editorial board of journals "Ecology and Noospherology", "Soil Science". His e-mail address is VseVsevolod@hotmail.com and his personal webpage at


Hierarchical heterogenity of populations: modeling by the open Eigen hypercycle. V.Ye.Belozyorov, V.S. Chernyshenko, S.V. Chernyshenko. // Proceedings 26th European conference on modelling and simulation ECMS 2012, 2012, European council for modelling and simulation, Digitaldruck Pirrot GmbH, May 29 - June 01, pp. 150-156.






















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V Belozyorov - Hierarchical heterogenity of populations modeling by the openeigen hypercycle