Abstract
We propose a fractional model for computer virus propagation. The model includes the interaction between computers and removable devices. We simulate numerically the model for distinct values of the order of the fractional derivative and for two sets of initial conditions adopted in the literature. We conclude that fractional order systems reveal richer dynamics than the classical integer order counterpart. Therefore, fractional dynamics leads to time responses with super-fast transients and super-slow evolutions towards the steady-state, effects not easily captured by the integer order models.
Highlights
The global information world in what we live has brought numerous advantages into our lives
We proposed a fractional order model for computer virus propagation, where the interaction of computers and removable devices is included
We simulated the system for distinct values of the order α of the fractional derivative and two sets of initial conditions
Summary
The global information world in what we live has brought numerous advantages into our lives. The model can predict the vulnerable susceptible computer population and estimate the infected computers for uniform-scan worms, such as Code Red. Feng et al [9] propose a modified SIRS model for computer virus propagation, with dual delays and multistate antivirus measures. Mishra and Jha [7] develop an SIRS model that includes temporary immunity The latter is observed when an antivirus software is run in a computer network, after a node gets affected by a malicious object. Zhu et al [10] use optimal control methods to fight computer virus propagation They consider a controlled delayed model and apply an optimal control strategy, assuming a tradeoff between the control costs and the effects. We present the main conclusions and outline some future research topics
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
