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

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 R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_0$$\end{document} 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.