1. An epidemic model of computer viruses with vaccination and generalized nonlinear incidence rate.
- Author
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Gan, Chenquan, Yang, Xiaofan, Liu, Wanping, Zhu, Qingyi, and Zhang, Xulong
- Subjects
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COMPUTER viruses , *EPIDEMIOLOGICAL models , *GENERALIZATION , *NONLINEAR theories , *EQUILIBRIUM , *DISEASE prevalence - Abstract
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. [Copyright &y& Elsevier]
- Published
- 2013
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