Dynamical Analysis of a Viral Infection Model with Delays in Computer NetworksReport as inadecuate




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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 280856, 15 pages -

Research Article

School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China

Key Laboratory of Advanced Process Control for Light Industry Ministry of Education, Jiangnan University, Wuxi 214122, China

Received 22 July 2014; Accepted 9 November 2014

Academic Editor: Baocang Ding

Copyright © 2015 Zizhen Zhang and Huizhong Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is devoted to the study of an SIRS computer virus propagation model with twodelays and multistate antivirus measures. We demonstrate that the system loses its stabilityand a Hopf bifurcation occurs when the delay passes through the corresponding critical valueby choosing the possible combination of the two delays as the bifurcation parameter. Moreover,the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions aredetermined by means of the center manifold theorem and the normal form theory. Finally,some numerical simulations are performed to illustrate the obtained results.





Author: Zizhen Zhang and Huizhong Yang

Source: https://www.hindawi.com/



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