## Linear Lyapunov functions for Volterra quadratic stochastic operators.(English)Zbl 1253.37083

Summary: We construct a class of linear Lyapunov functions for the Volterra quadratic stochastic operator. Using these functions we improve known results about the $$\omega$$-limit set of trajectories of the Volterra quadratic operators.

### MSC:

 37N25 Dynamical systems in biology 92D10 Genetics and epigenetics