We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
A compartmental model for global spread dynamics of malware under mutation.
- Authors
Ren, Jianguo; Xu, Yonghong; Xie, Chunli; He, Shouwu
- Abstract
Malware mutation is pervasive among networks. Modeling and understanding its propagation characteristics have been of great importance. In this study, a new compartmental model that extends the present model by incorporating mutated malware into the modeling process as a separate dynamic variable is proposed and theoretically analyzed to deepen the understanding of the spreading mechanisms of mutated malware. The model involves two equilibria, namely, malware‐free equilibrium and malware equilibrium, wherein both have proven to be locally and globally asymptotically stable through the Routh‐Hurwitz criterion and Lyapunov functional approach, respectively. An epidemic threshold is obtained that clearly forms the boundary among the comprehensive dynamics of the model between two distinct ramifications: one with mutation infection prevalence and the other without any mutation infection. Both are incarnated via the existence and stability of the equilibria admitted by the model. Further analyses show that the mutation is related not only to the epidemic threshold, but also to the malware prevalence level. The numerical simulations based on the analytic results demonstrate that the diffusion of mutated malware can fall away or can be maintained at a suitable level.
- Subjects
MALWARE prevention; MALWARE; COMPUTER simulation
- Publication
Mathematical Methods in the Applied Sciences, 2019, Vol 42, Issue 6, p1859
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5479