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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
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