Anomalous epidemic spreading in heterogeneous networks

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
H. Zhang ◽  
G. H. Li
2014 ◽  
Vol 94 (11) ◽  
pp. 2308-2330 ◽  
Author(s):  
Yao Hu ◽  
Lequan Min ◽  
Yang Kuang

2007 ◽  
Vol 364 (3-4) ◽  
pp. 189-193 ◽  
Author(s):  
Rui Yang ◽  
Bing-Hong Wang ◽  
Jie Ren ◽  
Wen-Jie Bai ◽  
Zhi-Wen Shi ◽  
...  

2015 ◽  
Vol 23 (04) ◽  
pp. 1550029 ◽  
Author(s):  
HUIYAN KANG ◽  
YIJUN LOU ◽  
GUANRONG CHEN ◽  
SEN CHU ◽  
XINCHU FU

In this paper, we study a susceptible-infected-susceptible (SIS) model with time delay on complex heterogeneous networks. Here, the delay describes the incubation period in the vector population. We calculate the epidemic threshold by using a Lyapunov functional and some analytical methods, and find that adding delay increases the epidemic threshold. Then, we prove the global stability of disease-free and endemic equilibria by using the theory of functional differential equations. Furthermore, we show numerically that the epidemic threshold of the new model may change along with other factors, such as the infectivity function, the heterogeneity of the network, and the degrees of nodes. Finally, we find numerically that the delay can affect the convergence speed at which the disease reaches equilibria.


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