Classification of a new subclass of ξ(as)-QSO and its dynamics

Izzat Qaralleh
2017 Journal of Mathematics and Computer Science  
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 ξ (as) -QSO defined on 2D simplex. first we classify this subclass into 18 non-conjugate classes. Furthermore, we investigate the behavior of
more » ... te the behavior of one class. c 2017 All rights reserved. Keywords: Quadratic stochastic operator, -Volterra quadratic stochastic operator, ξ (s) -quadratic stochastic operator, permuted -Volterra quadratic stochastic operator, dynamics.
doi:10.22436/jmcs.017.04.08 fatcat:fl55ktwqfvedpgjctnxwabofiu