International Journal of Computer Network and Information Security (IJCNIS)
IJCNIS Vol. 5, No. 10, 8 Aug. 2013
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Dynamic Model on the Transmission of Malicious Codes in Network
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Author(s)
Index Terms
Computer network, Worms, Virus, Trojan horse, Epidemic Model, Reproduction number, Global stability
Abstract
This paper introduces differential susceptible e-epidemic model S_i IR (susceptible class-1 for virus (S1) - susceptible class-2 for worms (S2) -susceptible class-3 for Trojan horse (S3) – infectious (I) – recovered (R)) for the transmission of malicious codes in a computer network. We derive the formula for reproduction number (R0) to study the spread of malicious codes in computer network. We show that the Infectious free equilibrium is globally asymptotically stable and endemic equilibrium 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. Numerical methods are employed to solve and simulate the system of equations developed.
Cite This Paper
Bimal Kumar Mishra, Apeksha Prajapati, "Dynamic Model on the Transmission of Malicious Codes in Network", International Journal of Computer Network and Information Security(IJCNIS), vol.5, no.10, pp.17-23, 2013. DOI:10.5815/ijcnis.2013.10.03
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