Dynamical analysis of fractional order model for computer virus propagation with kill signals

Abstract

The kill signals are alert about possible viruses that infect computer network to decrease the danger of virus propagation. In this work, we focus on a fractional-order SEIR-KS model in the sense of Caputo derivative to analyze the effects of kill signal nodes on the virus propagation. For this purpose, we first prove the existence and uniqueness of the model and give qualitative analysis. Then, we obtain the numerical solution of the model by using the Adams-Bashforth-Moulton algorithm. Finally, the effects of model parameters are demonstrated with graphics drawn by MATLAB program.