The healthcare domain requires security against possible threats, such as viruses to defend the integrity of the health and patient records. During the system analysis, different parts of the sub systems are connected under a main system. Under these connections into the Internet, malicious programs are spread into the system network and damages to vital information have been appearing. For that reason, it is crucial to model the spreading of the computer virus using dynamic equation systems and the solution of these systems will be presented. In this work an epidemiological model SIR is presented, and the analysis of its performance is illustrated.