We consider `-Volterra quadratic stochastic operators defined on (m? 1)-dimensional simplex, where ` 2 f0; 1; :::;mg. Under some conditions on coefficients of such operators we describe Lyapunov functions and apply them to obtain upper estimates for the set of !- limit points of trajectories. We describe a set of fixed points of `-Volterra operators.
Rozikov, U.A. and Zada, A.
"l-Volterra Quadratic Stochastic Operators: Lyapunov Functions, Trajectories,"
Applied Mathematics & Information Sciences: Vol. 06
, Article 21.
Available at: https://dc.naturalspublishing.com/amis/vol06/iss2/21