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...
| Autores principales: | , , |
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| Formato: | Proceeding Paper |
| Lenguaje: | English |
| Publicado: |
2011
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| Materias: | |
| Acceso en línea: | http://irep.iium.edu.my/6521/1/mfafifah-UMTAS-2011.pdf |
| Sumario: | 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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