×

Hopf bifurcation in a delayed SEIQRS model for the transmission of malicious objects in computer network. (English) Zbl 1405.68017

Summary: A delayed SEIQRS model for the transmission of malicious objects in computer network is considered in this paper. Local stability of the positive equilibrium of the model and existence of local Hopf bifurcation are investigated by regarding the time delay due to the temporary immunity period after which a recovered computer may be infected again. Further, the properties of the Hopf bifurcation are studied by using the normal form method and center manifold theorem. Numerical simulations are also presented to support the theoretical results.

MSC:

68M10 Network design and communication in computer systems
92D30 Epidemiology
PDF BibTeX XML Cite
Full Text: DOI