Quadratic stochastic operators frequently arise in many models of mathematical genetics. We propose a constructive description of quadratic stochastic operators that allows a natural introduction of thermodynamics in studying some models of heredity. This construction allows one to elucidate the role of the absolute temperature in the analysis of q

In this paper we introduce and study the simplest random binomial tree model. Usual binomial tree model is prescribed by pair of numbers (u, d), where u denotes the increase rate of the stock over the fixed period of time and d denotes the decrease rate, with 0< d < 1< u. We call the pair (u, d) an environment of the binomial tree model

We consider the Blume-Emery-Griffiths model on the Cayley tree and investigate the problem of phase transition. It is found the exact value for the critical temperature and described the region of phase transition.Proceedings of the 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012) PHASE TRANSITIONS IN THE BLUME-E

We consider linear and nonlinear stochastic models for transmission of blood types and Rhesus factor from parents to their offspring and investigate long run behavior of these models. In this study we will consider an application of the theory of Markov chains and the theory of nonlinear transformations in medicine. It is well known that the gene w

In the present paper we study ¤-homomorphisms on C¤-algebras over a ring of measurable functions L0: In particular, we give representation ¤-homomorphisms on C¤-algebras over L0 as measurable bundles of ¤-homomorphisms on complex C¤-algebras.Pr oceedingsof the 2nd International Conferenceon Mathematical Applications in Engineering (ICMAE2012)

This is a study on the phase diagram of the Blume-Emery-Gri�ths model on a Cayley tree with competing nearest-neighbour couplings and next-nearest-neighbour couplings and show that a detailed study of its properties can be carried out with essentially exact results, using rather simple numerical methods.Phase Transitions in the Blume-Emery-Griffi

لقد أشير وأكّد على إفادة الترجمة كاستراتيجية التعلم في تعلم اللغة الثانية حيث استخدمها متعلموا اللغة الإنجليزية بوصفها لغة ثانية، وهم في المرحلة الجامعية، بكثرة وخاصة هؤلاء في المستوى الابت�

The Barisan Nasional (BN) which won a landslide in 2004 was returned to power in 2008 elections with reduced majority and the loss of five state assemblies.Dissatisfied with unfulfilled promises, the electorate protested by voting for a strong opposition. BN additionally was characterized by factionalism. Three opposition parties joined hands and,

The Barisan Nasional (BN), which won a landslide victory in 2004, was returned to power in the 2008 elections with reduced majority and the loss of five state assemblies. Dissatisfied with unfulfilled promises, the electorate protested by voting for a strong opposition. BN was additionally characterized by factionalism. Three major opposition parti

This study of three parliaments in Bangladesh during 1991–2006 argues that parliament has failed to become the centre of political and legislative activities. This is mainly because the ruling parties deliberately bypass parliament, while the opposition deserts it. The parliament has been dysfunctional for more than half of its tenure. For the sh