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Zbl 1185.68042
Mishra, Bimal Kumar; Jha, Navnit
SEIQRS model for the transmission of malicious objects in computer network. (English)
[J] Appl. Math. Modelling 34, No. 3, 710-715 (2010). ISSN 0307-904X

Summary: Susceptible $(S)$ - exposed $(E)$ - infectious $(I)$ - 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 $Rcq$ determines the outcome of the disease. If $R\le 1$, the infected fraction of the nodes disappear so the disease die out, while if $Rcq > 1$, 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.

MSC 2000:: *68M10 Computer networks
34D20 Lyapunov stability of ODE
92D30 Epidemiology

Keywords: epidemic model; quarantine; endemic equilibrium; asymptotic stability; malicious objects; computer network

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Zentralblatt MATH Berlin [Germany]