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

Farrukh Mukhamedov, Mansoor Saburov, Izzat Qaralleh

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

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 E(s) -QSO defined on 2D simplex. We first classify E(s) -QSO into 20 nonconjugate classes. Further, we investigate the dynamics of three classes of such operators.

Original languageEnglish
Article number942038
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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