Stability analysis of VEISV propagation modeling for network worm attack

作者：Toutonji Ossama A; Yoo Seong Moo^*; Park Moongyu

来源：Applied Mathematical Modelling, 2012, 36(6): 2751-2761.

DOI：10.1016/j.apm.2011.09.058

• Network model
• Stability analysis
• State transition
• Worm attack
• Worm propagation

In this paper, we propose VEISV (vulnerable - exposed - infectious - secured - vulnerable) network worm attack model, which is appropriate for measuring the effects of security countermeasures on worm propagation. Contrary to existing models, our model takes into consideration accurate positions for dysfunctional hosts and their replacements in state transition. Using the reproduction rate, we derive global stability of a worm-free state and local stability of a unique worm-epidemic state. Furthermore, simulation results show the positive impact of increasing security countermeasures in the vulnerable state on worm-exposed and infectious propagation waves. Finally, equilibrium points are confirmed by phase plots.

• 出版日期2012-6