The rate of convergence of b-Bistochastic quadratic stochastic operator on 1-dimensional simplex

This research studies the dynamics of a quadratic stochastic operator (QSO) called the b-bistochastic QSO defined on a 1-dimensional simplex. The QSO was first constructed on a 1-dimensional simplex before fixed-point analysis was conducted on the QSO. Under some conditions, the QSO is defined to be the bbistochastic QSO. It is found that such b-bistochastic QSO converges to a unique fixed point at a constant rate.