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: | , , |
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| Format: | Proceeding Paper |
| Language: | en |
| Published: |
2011
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| Subjects: | |
| 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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| Summary: | 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. |
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