Dynamic model of worms with vertical transmission in computer network

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 reproduct...

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Vydáno v:Applied mathematics and computation Ročník 217; číslo 21; s. 8438 - 8446
Hlavní autoři: Mishra, Bimal Kumar, Pandey, Samir Kumar
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier Inc 01.07.2011
Elsevier
Témata:
Computer network
Computer networks
Computer simulation
Computer worms
Dynamic models
Endemic equilibrium
Epidemic model
Exact sciences and technology
Global stability
Mathematical analysis
Mathematical models
Mathematics
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Reproduction
Sciences and techniques of general use
Vertical transmission
Worms
Vertical transmission
Computer network
Epidemic model
Global stability
Worms
Endemic equilibrium
Transcendental equation
Numerical method
Stochastic method
Equation system
Non linear equation
Numerical analysis
Applied mathematics
Algebraic equation
Dynamic model
Numerical stability
ISSN:0096-3003, 1873-5649
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Shrnutí: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.
Bibliografie:ObjectType-Article-2
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.03.041