Strictly non-volterra Quadratic Stochastic Operator (QSO) on 3-dimensional simplex
In this paper, we investigate the dynamics of the Lebesque quadratic stochastic operator on the set of all Lebesque measures of the set X = [0,1] . We consider the family of functions such that for any fixed x, y a probability measure P(x, y,.) is absolutely continuous with respect to usual Lebesq...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Institute of Physics Publishing
2018
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/66206/ http://irep.iium.edu.my/66206/ http://irep.iium.edu.my/66206/1/66206_Strictly%20non-Volterra%20quadratic%20stochastic.pdf http://irep.iium.edu.my/66206/2/66206_Strictly%20non-Volterra%20quadratic%20stochastic_SCOPUS.pdf http://irep.iium.edu.my/66206/3/66206_Strictly%20non-Volterra%20quadratic%20stochastic_WOS.pdf |
| Summary: | In this paper, we investigate the dynamics of the Lebesque quadratic stochastic operator on the set of all
Lebesque measures of the set X = [0,1] . We consider the family of functions such that for any fixed x, y a probability
measure P(x, y,.) is absolutely continuous with respect to usual Lebesque measure on X with simple Radon-Nikodym
derivative. We construct the family of strictly non-Volterra quadratic stochastic and show that their dynamic behavior
coincides with dynamic of strictly non-Volterra quadratic stochastic operator on 3-dimensional simplex. |
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