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Zbl 1219.68080
Mishra, Bimal Kumar; Pandey, Samir Kumar
Dynamic model of worms with vertical transmission in computer network. (English)
[J] Appl. Math. Comput. 217, No. 21, 8438-8446 (2011). ISSN 0096-3003

Summary: An e-epidemic SEIRS model for the transmission of worms in computer network through vertical transmission is formulated. It has been observed that if the basic reproduction number is less than or equal to one, the infected part of the nodes disappear and the worm dies out, but if the basic reproduction number is greater than one, the infected nodes exists and the worms persist at an endemic equilibrium state. Numerical methods are employed to solve and simulate the system of equations developed. We have analyzed the behavior of the susceptible, exposed, infected and recovered nodes in the computer network with real parametric values.

MSC 2000:: *68M99 Computer system organization
68M11

Keywords: epidemic model; vertical transmission; endemic equilibrium; global stability; worms; computer network

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Zentralblatt MATH Berlin [Germany]