numerical modeling of the virtual virus propagation process in computer networks

This paper is devoted to a theoretical model describing a virtual virus propagation process in a set of interacting computers in the framework of SIS models, depending on a specific tracsmission process without spatial dependence. The model leads to a nonlinear delay integral equation which has been obtained in. Here, we give some results regarding the existence and uniqueness of the solution of the nonlinear model under some restrictions on the model and by means of a new approach, an explicit soltution is constructed.

کلیدواژه ها:

Delay integral equation ، Mathematical modeling ، Virus infection ، Gronwall-type inequality