Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities
Joint Authors
Yang, Xiaofan
Zhu, Qingyi
Gan, Chenquan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Vaccination is one of the most effective measures for suppressing the spread of computer virus, and the bilinear incidence rate assumption for the majority of previous models, which is a good first approximation of the general incidence rate, is in disagreement with the reality.
In this paper, a new dynamical model with two kinds of generic nonlinear probabilities (incidence rate and vaccination probability) is established.
An exhaustive mathematical analysis of this model shows that (a) there are two equilibria, virus-free equilibrium and viral equilibrium, and (b) the virus-free (or viral) equilibrium is globally asymptotically stable when the basic reproduction number is less (or greater) than unity.
The analysis of the basic reproduction number is also included.
Additionally, some numerical examples are given to illustrate the main results, from which it can be seen that the generic nonlinear vaccination is helpful to strengthen computer security.
American Psychological Association (APA)
Gan, Chenquan& Yang, Xiaofan& Zhu, Qingyi. 2014. Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014677
Modern Language Association (MLA)
Gan, Chenquan…[et al.]. Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014677
American Medical Association (AMA)
Gan, Chenquan& Yang, Xiaofan& Zhu, Qingyi. Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014677
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014677