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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Siti Nurlaili Karim (مؤلف)
مؤلفون آخرون: Nur Zatul Akmar Hamzah
التنسيق: أطروحة
اللغة:English
منشور في: Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2020
الموضوعات:
الوصول للمادة أونلاين:http://studentrepo.iium.edu.my/handle/123456789/10245
الوسوم: إضافة وسم
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الوصف
الملخص: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.
وصف المادة: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.
وصف مادي:x, 70 leaves : illustrations ; 30cm.
بيبلوغرافيا:Includes bibliographical references (leaves 63-64).