Asymptotic Behavior of Nonlinear Operator

Authors

  • A. Alsarayreh Institute of Engineering Mathematics Universiti Malaysia PerlisPauh Putra Main Campus 02600 Arau, Perlis, Malaysia
  • I. Qaralleh Department of Mathematics, Faculty of Science Tafila Technical University Tafila 66110, Jordan
  • M.Z. Ahmad Institute of Engineering Mathematics Universiti Malaysia PerlisPauh Putra Main Campus 02600 Arau, Perlis, Malaysia

Abstract

A quadratic stochastic operator (QSO) describes the time evolution of different species in biology. QSOs are the simplest non‐linear operators however the main problem with a non‐linear operator is its behavior. The behavior of non‐linear operator has not been studied in depth; even QSOs, which are the simplest non‐linear operators, have not been studied thoroughly. This paper investigates the global behavior of an operator Va taken from (s)  ‐QSO when the parameter a 0, 0.5,1.

Keywords:

quadratic stochastic operator, non-linear operators, asymptotic behavior

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Published

2017-12-31

How to Cite

A. Alsarayreh, I. Qaralleh, & M.Z. Ahmad. (2017). Asymptotic Behavior of Nonlinear Operator. Applied Mathematics and Computational Intelligence (AMCI), 6, 7–18. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/30

Issue

Vol. 6 (2017): December (2017)

Section

Articles