On quadratic stochastic processes and related differential equations

Mukhamedov, Farrukh and Supar, Nurul Akma and Pah, Chin Hee (2013) On quadratic stochastic processes and related differential equations. Journal of Physics: Conference Series, 435. 012013. ISSN 1742-6588 (P), 1742-6596 (O)

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Abstract

It is known that the theory of Markov process is a rapidly developing field with numerous applications to many branches of mathematics and physics, biology and so on. But there are some physical models which cannot be described by such processes. One of such models is related to population genetics. These processes are called quadratic stochastic processes (q.s.p.). In this theory it is important to construct nontrivial examples of such processes. In the present paper we are going to provide a construction of q.s.p. by means of two given processes. We should stress that such a construction allows us to produce lots of nontrivial examples of q.s.o. We also associate to given q.s.p. two kind of processes. Note that one of such processes is Markov. It is proved that such kind of processes uniquely define q.s.p. Moreover, we also derive some differential equations for q.s.p.

Item Type:	Article (Journal)
Additional Information:	5537/30079
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	27 Jun 2013 22:18
Last Modified:	27 Jun 2013 22:18
URI:	http://irep.iium.edu.my/id/eprint/30079

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