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In this paper we consider an equiprobable strictly non-Volterra quadratic stochastic operator defined on a finite-dimensional simplex. We show that such an operator has a unique fixed point, which is… Click to show full abstract
In this paper we consider an equiprobable strictly non-Volterra quadratic stochastic operator defined on a finite-dimensional simplex. We show that such an operator has a unique fixed point, which is an attracting fixed point. Furthermore, we construct a Lyapunov function and use it in order to prove that for any initial point the set of limit points of the trajectory is a singleton.
Keywords:
strictly non;
equiprobable strictly;
non volterra;
quadratic stochastic;
volterra quadratic;
stochastic operators
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017
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Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!