SEIQRS model for the transmission of malicious objects in computer network

被引:155
作者
Mishra, Bimal Kumar [1 ]
Jha, Navnit [2 ]
机构
[1] Birla Inst Technol, Dept Appl Math, Ranchi 835215, Bihar, India
[2] Rajiv Gandhi Inst Petr Technol, Dept Math, Rae Bareli 229316, India
关键词
Epidemic model; Quarantine; Endemic equilibrium; Asymptotic stability; Malicious objects; Computer network; ARBITRARILY DISTRIBUTED PERIODS; SEIRS EPIDEMIC MODEL; MATHEMATICAL-THEORY; ENDEMIC MODELS; GLOBAL STABILITY; DYNAMICS; BIFURCATION; QUARANTINE;
D O I
10.1016/j.apm.2009.06.011
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Susceptible (S) - exposed (E) - infectious (1) - quarantined (Q) - recovered (R) model for the transmission of malicious objects in computer network is formulated. Thresholds, equilibria, and their stability are also found with cyber mass action incidence. Threshold R-cq determines the outcome of the disease. If R-cq <= 1, the infected fraction of the nodes disappear so the disease die out, while if R-cq > 1, the infected fraction persists and the feasible region is an asymptotic stability region for the endemic equilibrium state. Numerical methods are employed to solve and simulate the system of equations developed. The effect of quarantine on recovered nodes is analyzed. We have also analyzed the behavior of the susceptible, exposed, infected, quarantine, and recovered nodes in the computer network. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:710 / 715
页数:6
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