Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 222, Issue -, Pages 265-274Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.07.055
Keywords
Computer virus; Epidemic model; Vaccination; Nonlinear incidence rate; Equilibrium; Global stability
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Funding
- Doctorate Foundation of Educational Ministry of China [20110191110022]
- Natural Science Foundation of China [10771227]
- Research Funds for the Central Universities [CDJXS12180007, CDJXS10181130]
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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. (C) 2013 Elsevier Inc. All rights reserved.
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