Dynamic model of worms with vertical transmission in computer network

被引：173

作者：

Mishra, Bimal Kumar ^{[1
]}

Pandey, Samir Kumar ^{[2
]}

机构：

[1] Birla Inst Technol, Dept Appl Math, Ranchi 835215, Bihar, India

[2] Siksha O Anusandhan Univ, Dept Math, Bhubaneswar, Orissa, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 21期

关键词：

Epidemic model; Vertical transmission; Endemic equilibrium; Global stability; Worms; Computer network; SEIR EPIDEMIC MODEL; MATHEMATICAL-THEORY; COMPOUND MATRICES; MALICIOUS OBJECTS; GLOBAL DYNAMICS; VIRUS;

D O I：

10.1016/j.amc.2011.03.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：8438 / 8446

页数：9

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