Apeksha Prajapati

Work place: Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi-835215, India

E-mail: prajapatiapeksha@gmail.com


Research Interests: Mathematical Analysis, Mathematical Software


Apeksha Prajapati, born in 1985. Ph. D. candidate in BIT Mesra,Ranchi. Her main research interests include Mathematical model on Cyber War, Cyber attack and its defense mechanism.

Author Articles
Dynamic Model on the Transmission of Malicious Codes in Network

By Bimal Kumar Mishra Apeksha Prajapati

DOI: https://doi.org/10.5815/ijcnis.2013.10.03, Pub. Date: 8 Aug. 2013

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.

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