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A dynamical system arising from population genetics

Mukhamedov, Farrukh and Saburov, Mansoor and Mohd Jamal, Afifah Hanum (2011) A dynamical system arising from population genetics. In: 10th International Annual Symposium (UMTAS 2011), 11-13 July 2011, Kuala Terengganu, Terengganu, Malaysia.

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Abstract

Quadratic dynamical systems have been proved to be a rich source of analysis for the investigation of dynamical properties and modeling in different domains. One of such operators is quadratic stochastic operator which naturally arises in modeling of a population dynamics. In this paper we introduce a new class of quadratic stochastic operators called ξS-QSO which are defined through coefficient of the operator from measure-theoretic point of view. This work also studies the limiting behaviour of one of ξS-QSO defined on two dimensional simplex. We investigate the behaviour of this operator and prove convergence of its trajectories and study its certain properties.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 5537/6521
Uncontrolled Keywords: dynamical system
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 25 Nov 2011 08:00
Last Modified: 28 Dec 2012 15:04
URI: http://irep.iium.edu.my/id/eprint/6521

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