%0 Journal Article %T Classification of a new subclass of \(\xi^{(as)}\)-QSO and its dynamics %A Qaralleh, Izzat %J Journal of Mathematics and Computer Science %D 2017 %V 17 %N 4 %@ ISSN 2008-949X %F Qaralleh2017 %X A quadratic stochastic operator (QSO) describes the time evolution of different species in biology. The main problem with regard to a nonlinear operator is to study its behavior. This subject has not been studied in depth; even QSOs, which are the simplest nonlinear operators, have not been studied thoroughly. In this paper we introduce a new subclass of \(\xi^{(as)}\)-QSO defined on 2D simplex. first we classify this subclass into 18 non-conjugate classes. Furthermore, we investigate the behavior of one class. %9 journal article %R 10.22436/jmcs.017.04.08 %U http://dx.doi.org/10.22436/jmcs.017.04.08 %P 535-544