id: 06036925
dt: j
an: 06036925
au: Ren, Jianguo; Yang, Xiaofan; Zhu, Qingyi; Yang, Lu-Xing; Zhang, Chunming
ti: A novel computer virus model and its dynamics.
so: Nonlinear Anal., Real World Appl. 13, No. 1, 376-384 (2012).
py: 2012
pu: Elsevier Science Ltd. (Pergamon), Amsterdam
la: EN
cc: 
ut: anti-virus ability; stability; bifurcation; bistable states
ci: 
li: doi:10.1016/j.nonrwa.2011.07.048
ab: Summary: We propose a novel computer virus propagation model and study its
    dynamic behaviors; to our knowledge, this is the first time the effect
    of anti-virus ability has been taken into account in this way. In this
    context, we give the threshold for determining whether the virus dies
    out completely. Then, we study the existence of equilibria, and analyze
    their local and global asymptotic stability. Next, we find that,
    depending on the anti-virus ability, a backward bifurcation or a Hopf
    bifurcation may occur. Finally, we show that under appropriate
    conditions, bistable states may be around. Numerical results illustrate
    some typical phenomena that may occur in the virus propagation over
    computer network.
rv: