On ξ^a -quadratic stochastic operators on 2-D simplex = (-quadratik stochastic pengendali di Simplex 2-D)
A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Penerbit UKM
2014
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Subjects: | |
Online Access: | http://irep.iium.edu.my/37976/ http://irep.iium.edu.my/37976/ http://irep.iium.edu.my/37976/1/mfizfa-SainsMalay%282014%29.pdf |
Summary: | A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some
quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator
theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators
which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this
paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we
investigate the dynamics of these classes of such operators. |
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