Dynamic Model on the Transmission of Malicious Codes in Network

Abstract

— This paper introduces differential susceptible e-epidemic model í µí±†í µí±† í µí±–í µí±– í µí°¼í µí°¼ í µí°¼í µí°¼ (susceptible class-1 for virus (S 1) -susceptible class-2 for wo rms (S 2) -susceptible class-3 for Trojan horse (S 3) – infectious (I) – recovered (R)) for the transmission of malicious codes in a computer network. We derive the formula for reproduction number (R 0) to study the spread of malicious codes in computer network. We show that the Infectious free equilibriu m is globally asymptotically stable and endemic equilibriu m is locally asymptotically sable when reproduction number is less than one. Also an analysis has been made on the effect of antivirus software in the infectious nodes. Nu merical methods are employed to solve and simulate the system of equations developed.