Author/Authors :
MUKHAMEDOV, FARRUKH International Islamic University Malaysia - Faculty of Science - Department of Computational and Theoretical Sciences, Malaysia , QARALLEH, IZZAT International Islamic University Malaysia - Faculty of Science - Department of Computational and Theoretical Sciences, Malaysia , BT WAN ROZALI, WAN NUR FAIRUZ ALWANI International Islamic University Malaysia - Faculty of Science - Department of Computational and Theoretical Sciences, Malaysia
Abstract :
A quadratic stochastic operator (QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. In this paper, we study the ξ(a)–QSO defined on 2D simplex. We first classify ξ(a)–QSO into 2 non-conjugate classes. Further, we investigate the dynamics of these classes of such operators.
