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

Farrukh Mukhamedov; Mansoor Saburov; Izzat Qaralleh

doi:10.1088/1742-6596/435/1/012003

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

Farrukh Mukhamedov, Mansoor Saburov, Izzat Qaralleh

Research output: Contribution to journal › Conference article › peer-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 language	English
Article number	012003
Journal	Journal of Physics: Conference Series
Volume	435
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/435/1/012003
Publication status	Published - 2013
Externally published	Yes
Event	4th International Conference on the Advancement of Science and Technology 2012: Contemporary Mathematics, Mathematical Physics and Their Applications, iCAST 2012 - Kuantan, Malaysia Duration: Nov 7 2012 → Nov 10 2012

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1742-6596/435/1/012003

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title = "Classification of ξ(s)-quadratic stochastic operators on 2D simplex",

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.",

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journal = "Journal of Physics: Conference Series",

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T1 - Classification of ξ(s)-quadratic stochastic operators on 2D simplex

AU - Mukhamedov, Farrukh

AU - Saburov, Mansoor

AU - Qaralleh, Izzat

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

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DO - 10.1088/1742-6596/435/1/012003

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SN - 1742-6588

VL - 435

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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

Abstract

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