Modeling and Analysis of the Spread of Malware with the Influence of User Awareness
Author(s) -
Qingyi Zhu,
Xuhang Luo,
Yuhang Liu
Publication year - 2021
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2021/6639632
Subject(s) - malware , stability theory , computer science , basic reproduction number , combinatorics , discrete mathematics , mathematics , computer security , physics , medicine , population , quantum mechanics , nonlinear system , environmental health
By incorporating the security awareness of computer users into the susceptible-infected-susceptible (SIS) model, this study proposes a new malware propagation model, named the SID model, where D compartment denotes the group of nodes with user awareness. Through qualitative analysis, the basic reproductive number R 0 is given. Furthermore, it is proved that the virus-free equilibrium is globally asymptotically stable if R 0 is less than one, whereas the viral equilibrium is globally asymptotically stable if R 0 is greater than one. Then, some numerical examples are given to demonstrate the analytical results. Finally, we put forward some efficient control measures according to the theoretical and experimental analysis.
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