Abstract—This paper gives an introduction to a realistic problem of current cyberspace i.e. cyber attacks and defense. In beginning of the paper we describe the objects used for cyber attacks and tell the means of spreading them such as secondary memory, e-mail attachments, instant messages or malicious bots. After this paper describe the roll of mathematical modeling and simulation to solve the problem with an extensive literature review. Cyber defense architecture and possible elements of cyber defense model are also studied for finding the research gaps. At the last this paper finds some gaps and possible ways to bridge these gaps.

Index Terms—Virus, worms, differential equation, instance messaging, FTP, E-mail, cyber-hardening

D. K. Saini is with Computing and Information Technology, Sohar University, Sultanate of Oman and Faculty of Engineering and IT, University of Queensland, Brisbane, Australia (e-mail:dinesh@soharuni.edu.om)

Cite: Dinesh Kumar Saini, "Cyber Defense: Mathematical Modeling and Simulation," International Journal of Applied Physics and Mathematics  vol. 2, no. 5, pp. 312-315, 2012.