TY - JOUR A2 - Arik, Sabri AU - Liu, Juan PY - 2014 DA - 2014/03/23 TI - Hopf Bifurcation in a Delayed SEIQRS Model for the Transmission of Malicious Objects in Computer Network SP - 492198 VL - 2014 AB - 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. SN - 1110-757X UR - https://doi.org/10.1155/2014/492198 DO - 10.1155/2014/492198 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -