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On xi-(s) quadratic stochastic operators on two-dimensional simplex and their behavior

Mukhamedov, Farrukh and Saburov, Mansoor and Qaralleh, Izzat (2013) On xi-(s) quadratic stochastic operators on two-dimensional simplex and their behavior. Abstract and Applied Analysis, 2013. 942038(1)-942038(12). ISSN 1687-0409 (O), 1085-3375 (P)

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A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have 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 quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. We study -QSO defined on 2D simplex. We first classify -QSO into 20 nonconjugate classes. Further, we investigate the dynamics of three classes of such operators.

Item Type: Article (Journal)
Additional Information: 5537/32701
Uncontrolled Keywords: quadratic stochastic operator (in short QSO)
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. Farrukh Mukhamedov
Date Deposited: 15 Nov 2013 09:23
Last Modified: 15 Nov 2013 09:23
URI: http://irep.iium.edu.my/id/eprint/32701

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