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**Two quarantine models on the attack of malicious objects in computer network.**
*(English)*
Zbl 1264.68015

Summary: SEIQR (susceptible, exposed, infectious, quarantined, recovered) models for the transmission of malicious objects with simple mass action incidence and standard incidence rate in computer network are formulated. Threshold, equilibrium, and their stability are discussed for the simple mass action incidence and standard incidence rate. Global stability and asymptotic stability of endemic equilibrium for simple mass action incidence have been shown. With the help of the Poincaré-Bendixson property, asymptotic stability of endemic equilibrium for standard incidence rate has been shown. Numerical methods have been used to solve and simulate the system of differential equations. 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 |

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\textit{B. K. Mishra} and \textit{A. K. Singh}, Math. Probl. Eng. 2012, Article ID 407064, 13 p. (2012; Zbl 1264.68015)

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### References:

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