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

被引：0
作者：
Ranjit Kumar Upadhyay
Sangeeta Kumari
A. K. Misra
机构：
[1] Indian School of Mines,Department of Applied Mathematics
[2] Banaras Hindu University,Department of Mathematics, Institute of Science
来源：
Journal of Applied Mathematics and Computing | 2017年 / 54卷
关键词：
Computer network model; Non-linear incidence rate; Viruses; Stability; Holling type II functional response; 34D23; 65C20; 92D30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：485 / 509
页数：24
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