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

Farrukh Mukhamedov, Mansoor Saburov, Izzat Qaralleh

Research output: Contribution to journalConference articlepeer-review

5 Citations (Scopus)

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 ξ(s)-QSO class of operators. We study such kind of operators on 2D simplex. We first classify these ξ(s)-QSO into 20 classes. Further, we investigate the dynamics of one class of such operators.

Original languageEnglish
Article number012003
JournalJournal of Physics: Conference Series
Volume435
Issue number1
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event4th International Conference on the Advancement of Science and Technology 2012: Contemporary Mathematics, Mathematical Physics and Their Applications, iCAST 2012 - Kuantan, Malaysia
Duration: Nov 7 2012Nov 10 2012

ASJC Scopus subject areas

  • General Physics and Astronomy

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