V Belozyorov - Hierarchical heterogenity of populations modeling by the openeigen hypercycle - страница 4
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 email@example.com
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 firstname.lastname@example.org and his web-site can be found at www.uni-koblenz.de/ svc.
VSEVOLOD S. CHERNYSHENKO was born in
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.