Rostov State University, Dep. Mathematics and Mechanics, Zorge pr., 5, Rostov-na-Donu 344090, Russia

Abstract

The authors analyse different approaches (geometrical and analytical) to investigate the dynamic of competing populations in changing environment. For the broad range of models a sufficient character of selection is determined: in changing environment one population ejects the others if its productivity is higher with some reserve. In competition models "everybody against everybody" there is a universal reserve constant that is not depended on the number of populations in community. In the models "everybody against one" reserve constant can increase without limits in increasing the number of competitors.