A STOCHASTIC MODEL FOR COMPUTER VIRUS PROPAGATION

被引：3
|
作者：
Lefebvre, Mario [1 ]
机构：
[1] Polytech Montreal, Dept Math & Ind Engn, CP 6079,Succursale Ctr Ville, Montreal, PQ H3C 3A7, Canada
来源：
JOURNAL OF DYNAMICS AND GAMES | 2020年 / 7卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Game theory; first-passage time; Brownian motion; partial differential equations; method of similarity solutions;
D O I：
10.3934/jdg.2020010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A three-dimensional continuous-time stochastic model based on the classic Kermack-McKendrick model for the spread of epidemics is proposed for the propagation of a computer virus. Moreover, control variables are introduced into the model. We look for the controls that either minimize or maximize the expected time it takes to clean the infected computers, or to protect them from the virus. Using dynamic programming, the equations satisfied by the value functions are derived. Particular problems are solved explicitly.
引用
收藏
页码：163 / 174
页数：12
相关论文
共 50 条
  • [1] Stochastic SIRS Model of Computer Virus Propagation in the Network
    Yang, Hua
    Yang, Huai-Qing
    Huang, Feng-Hua
    INTERNATIONAL CONFERENCE ON COMPUTER NETWORKS AND INFORMATION SECURITY (CNIS 2015), 2015, : 388 - 392
  • [2] Numerical Simulations for Stochastic Computer Virus Propagation Model
    Arif, Muhammad Shoaib
    Raza, Ali
    Rafiq, Muhammad
    Bibi, Mairaj
    Abbasi, Javeria Nawaz
    Nazeer, Amna
    Javed, Umer
    CMC-COMPUTERS MATERIALS & CONTINUA, 2020, 62 (01): : 61 - 77
  • [3] COMPUTER VIRUS PROPAGATION MODELLED AS A STOCHASTIC DIFFERENTIAL GAME
    Lefebvre, Mario
    ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2020, 98 (01):
  • [4] Model of computer virus propagation in the network
    Li, Xiaoli
    Wang, Lina
    Jisuanji Gongcheng/Computer Engineering, 2005, 31 (18): : 153 - 155
  • [5] Bifurcation analysis of a computer virus propagation model
    Dukuza, Kenneth
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (05): : 1384 - 1400
  • [6] Numerical Treatment for Stochastic Computer Virus Model
    Raza, Ali
    Arif, Muhammad Shoaib
    Rafiq, Muhammad
    Bibi, Mairaj
    Naveed, Muhammad
    Iqbal, Muhammad Usman
    Butt, Zubair
    Naseem, Hafiza Anum
    Abbasi, Javeria Nawaz
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 120 (02): : 445 - 465
  • [7] Stochastic models of virus propagation in computer networks: Algorithms of protection and optimization
    Grishunina Y.
    Manita L.
    Lobachevskii Journal of Mathematics, 2017, 38 (5) : 906 - 909
  • [8] A delayed computer virus propagation model and its dynamics
    Ren, Jianguo
    Yang, Xiaofan
    Yang, Lu-Xing
    Xu, Yonghong
    Yang, Fanzhou
    CHAOS SOLITONS & FRACTALS, 2012, 45 (01) : 74 - 79
  • [9] A compartmental model for computer virus propagation with kill signals
    Ren, Jianguo
    Xu, Yonghong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 486 : 446 - 454
  • [10] Global Bifurcation of a Novel Computer Virus Propagation Model
    Ren, Jianguo
    Xu, Yonghong
    Liu, Jiming
    ABSTRACT AND APPLIED ANALYSIS, 2014,
12345