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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| Format: | Proceeding Paper |
| Language: | en |
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2011
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| Online Access: | http://irep.iium.edu.my/6521/1/mfafifah-UMTAS-2011.pdf http://irep.iium.edu.my/6521/ http://www.umt.edu.my/dokumen/UMTAS2011/MATHS.html |
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| _version_ | 1831350103282024448 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Library |
| collection | Institutional Repository |
| content_provider | International Islamic University Malaysia |
| content_source | IIUM Repository (IREP) |
| continent | Asia |
| country | Malaysia |
| 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 | Proceeding Paper |
| id | my.iium.irep-6521 |
| institution | Universiti Islam Antarabangsa Malaysia |
| language | en |
| publishDate | 2011 |
| record_format | dspace |
| spelling | my.iium.irep-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 Proceeding Paper 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 |
| spellingShingle | Q Science (General) QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Mohd Jamal, Afifah Hanum A dynamical system arising from population genetics |
| title | 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_short | A dynamical system arising from population genetics |
| title_sort | dynamical system arising from population genetics |
| topic | Q Science (General) QA Mathematics |
| url | http://irep.iium.edu.my/6521/1/mfafifah-UMTAS-2011.pdf http://irep.iium.edu.my/6521/ http://www.umt.edu.my/dokumen/UMTAS2011/MATHS.html |
| url_provider | http://irep.iium.edu.my/ |