Title
An epidemic model of computer viruses with vaccination and generalized nonlinear incidence rate
Abstract
This paper aims to explore the influence of vaccination on the diffusion of computer viruses under more reasonable assumptions. By incorporating a vaccination probability in the SIRS model with generalized nonlinear incidence rate, a novel epidemic model of computer viruses is established. A thorough analysis of this model shows that, depending on the value of the basic reproduction number, either the virus-free equilibrium or the endemic equilibrium is globally asymptotically stable. Simulation results not only justify the proposed model, but also demonstrate the effectiveness of vaccination. Based on a parameter analysis for the model, some effective strategies for inhibiting the virus prevalence are posed.
Year
DOI
Venue
2013
10.1016/j.amc.2013.07.055
Applied Mathematics and Computation
Keywords
Field
DocType
generalized nonlinear incidence rate,virus-free equilibrium,asymptotically stable,parameter analysis,sirs model,vaccination probability,novel epidemic model,thorough analysis,endemic equilibrium,computer virus,vaccination,epidemic model,equilibrium
Parameter analysis,Mathematical optimization,Epidemic model,Nonlinear system,Incidence (epidemiology),Computer virus,Vaccination,Basic reproduction number,Mathematics,Stability theory
Journal
Volume
ISSN
Citations 
222,
0096-3003
6
PageRank 
References 
Authors
0.51
19
5
Name
Order
Citations
PageRank
Chenquan Gan1669.96
Xiaofan Yang276474.09
Wanping Liu3528.13
Qingyi Zhu4697.04
Xulong Zhang560.51