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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| Format: | Thesis |
| Language: | English |
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Kuantan, Pahang :
Kulliyyah of Science, International Islamic University Malaysia,
2020
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| Subjects: | |
| Online Access: | http://studentrepo.iium.edu.my/handle/123456789/10245 |
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| Summary: | 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. |
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| 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. |
| Physical Description: | x, 70 leaves : illustrations ; 30cm. |
| Bibliography: | Includes bibliographical references (leaves 63-64). |