English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A quadratic stochastic operator (in short QSO) is usually used to present thetime evolution of differing species in biology. Some quadratic stochasticoperators have been studied by Lotka and Volterra. The general problem in thenonlinear operator theory is to study the behavior of operators. This problemwas not fully finished even for quadratic stochastic operators which are thesimplest nonlinear operators. To study this problem, it was investigatedseveral classes of QSO. In this paper, we study $\xi^{(s)}$--QSO defined on 2Dsimplex. We first classify $\xi^{(s)}$--QSO into 20 non-conjugate classes.Further, we investigate the dynamics of three classes of such operators.

On $\xi^{(s)}$-Quadratic Stochastic Operators on two Dimensional simplex and their behavior