title: Stability and Hopf bifurcation for a delayed SLBRS computer virus model.
abstract: By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the delay as bifurcating parameter. Specially, direction and stability of the Hopf bifurcation are derived by applying the normal form method and center manifold theory. Finally, an illustrative example is also presented to testify our analytical results.
authors.affiliation: 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.
authors.forename: Zizhen
authors.identifier: 0000-0002-2879-4434
authors.initials: Z
authors.lastname: Zhang
authors.affiliation: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China.
authors.forename: Huizhong
authors.initials: H
authors.lastname: Yang
mesh_terms: D000465:Algorithms; D016494:Computer Security; D008962:Models, Theoretical