Asymptotic Behavior of Nonlinear Operator
Keywords:
quadratic stochastic operator, non-linear operators, asymptotic behaviorAbstract
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 non‐linear 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 0, 0.5,1.