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Impact of Discontinuous Immune on Computer Virus Modelwith Nonlinear Vaccination Probability(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2016年04期
Page:
61-
Research Field:
计算机与信息工程
Publishing date:

Info

Title:
Impact of Discontinuous Immune on Computer Virus Modelwith Nonlinear Vaccination Probability
Author(s):
Li Xun1; Wang Xingxing2; Zhang Daoxiang3
(1.Nanjing Health School,Nanjing 210038,China)(2.College of Life Science,Hefei Normal University,Hefei 230009,China)(3.Department of Mathematics and Computer Science,Anhui Normal University,Wuhu 241002,China)
Keywords:
discontinuous immune; computer virus; global stability in finite time
PACS:
TP309.5; O175.15
DOI:
10.3969/j.issn.1672-1292.2016.04.011
Abstract:
This paper mainly studies the impact of discontinuous immunity on global dynamics of nonlinear vaccination computer virus model. By using the right hang discontinuity and the knowledge of differential inclusion,we define the solution of Filippov,and prove the existence and uniqueness of equilibrium. We obtain the basic reproduction number R0 by calculation. By constructing Lyapunov function and using LaSalle invariant set principle,we show that solutions are all convergence to the disease equilibrium infinite time when R0>1. Similarly,we can also demonstrate that solutions are all convergence to the free disease equilibrium in finite time when R0<1. Numerical simulations are carried out to illustrate and expand the theoretical results.

References:

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Last Update: 2016-12-31