On orthogonality preserving quadratic stochastic operators

Farrukh Mukhamedov, Muhammad Hafizuddin Mohd Taha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 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. In the present paper, we first give a simple characterization of Volterra QSO in terms of absolutely continuity of discrete measures. Further, we introduce a notion of orthogonal preserving QSO, and describe such kind of operators defined on two dimensional simplex. It turns out that orthogonal preserving QSOs are permutations of Volterra QSO. The associativity of genetic algebras generated by orthogonal preserving QSO is studied too.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics, Engineering and Industrial Applications, ICoMEIA 2014
EditorsMohammad Fadzli Ramli, Nurshazneem Roslan, Ahmad Kadri Junoh, Maz Jamilah Masnan, Mohammad Huskhazrin Kharuddin
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413047
DOIs
Publication statusPublished - May 15 2015
Externally publishedYes
EventInternational Conference on Mathematics, Engineering and Industrial Applications, ICoMEIA 2014 - Penang, Malaysia
Duration: May 28 2014May 30 2014

Publication series

NameAIP Conference Proceedings
Volume1660
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematics, Engineering and Industrial Applications, ICoMEIA 2014
Country/TerritoryMalaysia
CityPenang
Period5/28/145/30/14

Keywords

  • Quadratic stochastic operator
  • Volterra operator
  • orthogonal preserving

ASJC Scopus subject areas

  • General Physics and Astronomy

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