Journal of Siberian Federal University. Mathematics & Physics / A Generalized Model of Nonlinear Operators of Volterra Type and Lyapunov Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2008 1 (2)
Authors
Ganikhodzhaev, Rasul N.; Saburov, Mansoor X.
Contact information
Расул Н.Ганиходжаев: Национальный университет Узбекистана,ВУЗгородок, Ташкент, 700174,Узбекистан, e-mail: ; Мансур Х.Сабуров: Национальный университет Узбекистана,ВУЗгородок, Ташкент, 700174,Узбекистан,e-mail:
Keywords
nonlinear operators; asymptotical behavior; Lyapunov function
Abstract

In some problems of population genetics we deal with studying asymptotic behavior of the trajectory of nonlinear mappings of a simplex into itself. The present paper is devoted to investigation of homeomorphisms of such mappings and asymptotic behavior. Such a homeomorphism allows us to determine the pre-history of a biological system.

Pages
188-196
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/717