A dynamical system arising from population genetics

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...

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Main Authors:	Mukhamedov, Farrukh, Saburov, Mansoor, Mohd Jamal, Afifah Hanum
Format:	Conference or Workshop Item
Language:	English
Published:	2011
Subjects:	Q Science (General) QA Mathematics
Online Access:	http://irep.iium.edu.my/6521/ http://irep.iium.edu.my/6521/ http://irep.iium.edu.my/6521/1/mfafifah-UMTAS-2011.pdf

id	iium-6521
recordtype	eprints
spelling	iium-65212012-12-28T07:04:56Z http://irep.iium.edu.my/6521/ A dynamical system arising from population genetics Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum Q Science (General) QA Mathematics 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. 2011-07 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/6521/1/mfafifah-UMTAS-2011.pdf 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. http://www.umt.edu.my/dokumen/UMTAS2011/MATHS.html
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	Q Science (General) QA Mathematics
spellingShingle	Q Science (General) QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum A dynamical system arising from population genetics
description	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.
format	Conference or Workshop Item
author	Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum
author_facet	Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum
author_sort	Mukhamedov, Farrukh
title	A dynamical system arising from population genetics
title_short	A dynamical system arising from population genetics
title_full	A dynamical system arising from population genetics
title_fullStr	A dynamical system arising from population genetics
title_full_unstemmed	A dynamical system arising from population genetics
title_sort	dynamical system arising from population genetics
publishDate	2011
url	http://irep.iium.edu.my/6521/ http://irep.iium.edu.my/6521/ http://irep.iium.edu.my/6521/1/mfafifah-UMTAS-2011.pdf
first_indexed	2023-09-18T20:15:30Z
last_indexed	2023-09-18T20:15:30Z
_version_	1777407760226320384

A dynamical system arising from population genetics

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