Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity /

This research is designed to define and construct some classes of Geometric quadratic stochastic operator defined on the countable state space generated by 2-partition of finite and infinite points, and to investigate their trajectory behaviour. These operators can be reinterpreted in terms of evolu...

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书目详细资料
主要作者: Siti Nurlaili Karim (Author)
其他作者: Nur Zatul Akmar Hamzah
格式: Thesis
语言:English
出版: Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2020
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在线阅读:http://studentrepo.iium.edu.my/handle/123456789/10245
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实物特征
总结:This research is designed to define and construct some classes of Geometric quadratic stochastic operator defined on the countable state space generated by 2-partition of finite and infinite points, and to investigate their trajectory behaviour. These operators can be reinterpreted in terms of evolutionary operator of free population with arbitrary initial measure. It is shown that such operators are regular transformations through the convergence of the trajectory behaviour to a fixed point in the open interval (0,1) which indicates the existence of the strong limit of the sequence of trajectories.
Item Description:Abstracts in English and Arabic.
"A thesis submitted in fulfilment of the requirement for the degree of Master of Science (Computational and Theoretical Sciences)." --On title page.
实物描述:x, 70 leaves : illustrations ; 30cm.
参考书目:Includes bibliographical references (leaves 63-64).