|
Journal of Siberian Federal University. Mathematics & Physics, 2008, Volume 1, Issue 2, Pages 188–196
(Mi jsfu18)
|
|
|
|
This article is cited in 7 scientific papers (total in 7 papers)
A Generalized Model of Nonlinear Operators of Volterra Type and Lyapunov Functions
Rasul N. Ganikhodzhaev, Mansoor X. Saburov National University of Uzbekistan
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.
Keywords:
nonlinear operators, asymptotical behavior, Lyapunov function.
Received: 01.09.2007 Received in revised form: 03.02.2008 Accepted: 10.04.2008
Citation:
Rasul N. Ganikhodzhaev, Mansoor X. Saburov, “A Generalized Model of Nonlinear Operators of Volterra Type and Lyapunov Functions”, J. Sib. Fed. Univ. Math. Phys., 1:2 (2008), 188–196
Linking options:
https://www.mathnet.ru/eng/jsfu18 https://www.mathnet.ru/eng/jsfu/v1/i2/p188
|
|