Article · Mathematical Modelling and Analysis · March 21, 2023
ON DISCRETE-TIME MODELS OF NETWORK WORM PROPAGATION GENERATED BY QUADRATIC OPERATORS
Fatima Аdilova, Uygun Umurovich Jamilov, Andrejs Reinfelds
Abstract
In this paper we consider the discrete-time dynamical systems generated by network worm propagation models based on the theory of quadratic stochastic operators(QSO). This approach simultaneously solves two important problems: exploring of the QSO trajectory‘s behavior, we described the set of limit points, thereby completely solved the main problem of dynamical systems (i), we showed a new application of the theory QSOs in worm propagation modelling (ii). We demonstrated that proposed discrete-time biologically-inspired model represents also realistic picture of the worm propagation process and such analytical models can be used in decision of some problems of computer networks.
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