TY - JOUR
T1 - The SIS Model with time delay on complex networks
AU - Xu, Xin-Jian
AU - Chen, Guanrong
PY - 2009/2
Y1 - 2009/2
N2 - We present a time-delayed SIS model on complex networks to study epidemic spreading. We found that the existence of delay will affect, and oftentimes enhance, both outbreak and prevalence of infectious diseases in the networks. For small-world networks, we found that the epidemic threshold and the delay time have a power-law relation. For scale-free networks, we found that for a given transmission rate, the epidemic prevalence has an exponential form, which can be analytically obtained, and it decays as the delay time increases. We confirm all results by sufficient numerical simulations. © 2009 World Scientific Publishing Company.
AB - We present a time-delayed SIS model on complex networks to study epidemic spreading. We found that the existence of delay will affect, and oftentimes enhance, both outbreak and prevalence of infectious diseases in the networks. For small-world networks, we found that the epidemic threshold and the delay time have a power-law relation. For scale-free networks, we found that for a given transmission rate, the epidemic prevalence has an exponential form, which can be analytically obtained, and it decays as the delay time increases. We confirm all results by sufficient numerical simulations. © 2009 World Scientific Publishing Company.
KW - Epidemiology
KW - Scale-free network
KW - SIS model
KW - Small-world network
UR - http://www.scopus.com/inward/record.url?scp=67449118636&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-67449118636&origin=recordpage
U2 - 10.1142/S021812740902324X
DO - 10.1142/S021812740902324X
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 19
SP - 623
EP - 628
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 2
ER -