Nonhomogeneous poisson nonlinear transformations on countable infinite set

In this paper, we construct the family of nonhomogeneous Poisson quadratic stochastic operators defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. Such operators can be reinterpreted in terms of of evolutionary operator of free population. We sho...

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Bibliographic Details
Main Authors: Hamzah, Nur Zatul Akmar, Ganikhodjaev, Nasir
Format: Article
Language:English
English
Published: Institute Mathematical Sciences, Universiti Putra Malaysia 2016
Subjects:
Online Access:http://irep.iium.edu.my/50618/
http://irep.iium.edu.my/50618/
http://irep.iium.edu.my/50618/1/50618_-_Nonhomogeneous_poisson_nonlinear_transformations_on_countable_infinite_set.pdf
http://irep.iium.edu.my/50618/4/50618-Nonhomogeneous%20poisson%20nonlinear%20transformations%20on%20countable%20infinite%20set_SCOPUS.pdf
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Summary:In this paper, we construct the family of nonhomogeneous Poisson quadratic stochastic operators defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. Such operators can be reinterpreted in terms of of evolutionary operator of free population. We show that nonhomogeneous Poisson quadratic stochastic operators are regular transformations