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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Bibliographic Details
Main Author: Siti Nurlaili Karim (Author)
Other Authors: Nur Zatul Akmar Hamzah
Format: Thesis
Language:English
Published: Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2020
Subjects:
Online Access:http://studentrepo.iium.edu.my/handle/123456789/10245
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040 |a UIAM  |b eng  |e rda 
041 |a eng 
043 |a a-my--- 
050 4 |a QA274.2 
100 0 |a Siti Nurlaili Karim,  |e author 
245 1 0 |a Some classes of 2-partition geometric quadratic stochastic operator on countable state space and its regularity /  |c by Siti Nurlaili binti Karim 
264 1 |a Kuantan, Pahang :   |b Kulliyyah of Science, International Islamic University Malaysia,   |c 2020 
300 |a x, 70 leaves :  |b illustrations ;  |c 30cm. 
336 |2 rdacontent  |a text 
337 |2 rdamedia  |a unmediated 
337 |2 rdamedia  |a computer 
338 |2 rdacarrier  |a volume 
338 |2 rdacarrier  |a online resource 
347 |2 rdaft  |a text file  |b PDF 
500 |a Abstracts in English and Arabic. 
500 |a "A thesis submitted in fulfilment of the requirement for the degree of Master of Science (Computational and Theoretical Sciences)." --On title page. 
502 |a Thesis (MSCTS)--International Islamic University Malaysia, 2020. 
504 |a Includes bibliographical references (leaves 63-64). 
520 |a 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. 
596 |a 6 
650 0 |a Stochastic analysis 
650 0 |a State-space methods 
655 7 |a Theses, IIUM local 
690 |a Dissertations, Academic  |x Department of Computational and Theoretical Sciences  |z IIUM 
700 0 |a Nur Zatul Akmar Hamzah 
700 1 |a Ganikhodjaev, Nasir,  |e degree supervisor 
710 2 |a International Islamic University Malaysia.  |b Department of Computational and Theoritical Sciences 
856 4 |u http://studentrepo.iium.edu.my/handle/123456789/10245 
900 |a sz-nbm-sar 
999 |c 441283  |d 471516 
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