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Modeling the virus dynamics in computer network with SVEIR model and nonlinear incident rate

Publication Type : Journal Article

Publisher : Journal of Applied Mathematics and Computing

Source : Journal of Applied Mathematics and Computing 54 (1), 485-509

Campus : Coimbatore

School : School of Engineering

Center : Amrita Innovation & Research

Department : Mathematics

Verified : Yes

Year : 2017

Abstract : In this paper, an e-epidemic Susceptible–Vaccinated–Exposed–Infectious– Recovered (SVEIR) model is formulated for the treatment of infective nodes considering the development of acquired immunity in recovered nodes. We have employed Holling type II functional response as the treatment function. Stability analysis for virus-free as well as interior/endemic equilibria is performed. It is observed that the existence of unique interior equilibrium depends on the basic reproduction number \(R_0\) as well as on the treatment rate. Numerical simulations are performed to support analytical findings. We have analyzed the behavior of the susceptible, exposed and infected nodes in the computer network with real parameter values with time series and phase plane analysis.

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