@Article{ATA-34-199,
author = {Zizhen Zhang, Yougang Wang and Massimiliano Ferrara},
title = {Hopf Bifurcation of a Nonresident Computer Virus Model with Delay},
journal = {Analysis in Theory and Applications},
year = {2018},
volume = {34},
number = {3},
pages = {199--208},
abstract = {<p style="text-align: justify;">In this paper, a delayed nonresident computer virus model with graded infection
rate is considered in which the following assumption is imposed: latent computers
have lower infection ability than infectious computers. With the aid of the bifurcation
theory, sufficient conditions for stability of the infected equilibrium of the model
and existence of the Hopf bifurcation are established. In particular, explicit formulae
which determine direction and stability of the Hopf bifurcation are derived by means
of the normal form theory and the center manifold reduction for functional differential
equations. Finally, a numerical example is given in order to show the feasibility of the
obtained theoretical findings.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2016-0035},
url = {http://global-sci.org/intro/article_detail/ata/12835.html}
}