Classification of ξ(s)-quadratic stochastic operators on 2D simplex

Mukhamedov, Farrukh and Saburov, Mansoor and Qaralleh, Izzat (2013) Classification of ξ(s)-quadratic stochastic operators on 2D simplex. Journal of Physics: Conference Series, 435. pp. 1-8. ISSN 1742-6588 (P), 1742-6596 (O)

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Abstract

A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some QSO has been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for the quadratic stochastic operators. To study this problem it was investigated several classes of such QSO. In this paper we study (s)-QSO class of operators. We study such kind of operators on 2D simplex. We first classify these (s)-QSO into 20 classes. Further, we investigate the dynamics of one class of such operators.

Item Type:	Article (Journal)
Additional Information:	5537/30040
Uncontrolled Keywords:	quadratic stochastic operator, QSO, biology, 2D simplex
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	05 Jun 2013 17:37
Last Modified:	24 Jul 2013 16:38
URI:	http://irep.iium.edu.my/id/eprint/30040

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