A quadratic stochastic operator (QSO) describes the time evolution of different species in biology. QSOs are the simplest non‐linear operators however the main problem with a nonlinear operator is its behavior. The behavior of non‐linear operator has not been studied in depth; even QSOs, which are the simplest non‐linear operators, have not been studied thoroughly. This paper investigates the global behavior of an operator Vₐ taken from (s) ‐QSO when the parameter a ϵ{0,0.5,1}
