Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)
Nonhomogeneous Poisson Nonlinear Transformations on Countable Infinite Set
Hamzah, N. Z. A. and Ganikhodjaev, N.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this paper, we construct the family of nonhomogeneous Poisson quadratic stochastic operators defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. Such operators can be reinterpreted in terms of of evolutionary operator of free population. We show that nonhomogeneous Poisson quadratic stochastic operators are regular transformations.
Keywords: Ergodic hypothesis, Poisson distribution, Quadratic stochastic operator
