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SEIQRS model for the transmission of malicious objects in computer network. (English) Zbl 1185.68042
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 $$R\leq 1$$, 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:
 68M10 Network design and communication in computer systems 34D20 Stability of solutions to ordinary differential equations 92D30 Epidemiology
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