This article is cited in 5 papers

Universal Margin Factors and Selection Criteria in Variable Environment

V. G. Il'ichev

Scientific Reseach Institute of Mechanics and Applied Mathematics, Rostov State University

Abstract: For nonautonomous dynamical systems, the principle of inheriting local properties by global Poincaré maps is developed. Using this method, a selection criterion for systems of “close” competitors is found: to gain competitive advantage, it suffices to outproduce other populations with a margin. The margin factor in question remains uniformly bounded as the number of competitors in the community grows.

UDC: 519

Received: 12.12.1997
Revised: 01.03.1999

DOI: 10.4213/mzm781

 English version: Mathematical Notes, 2001, 70:5, 628–639

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