Applied Mathematics & Information Sciences
Abstract
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.
Suggested Reviewers
N/A
Recommended Citation
Rozikov, U.A. and Zada, A.
(2012)
"l-Volterra Quadratic Stochastic Operators: Lyapunov Functions, Trajectories,"
Applied Mathematics & Information Sciences: Vol. 06:
Iss.
2, Article 21.
Available at:
https://digitalcommons.aaru.edu.jo/amis/vol06/iss2/21
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