2004/02/25 by Jingzhou Liu, Jinshan Wu, Zheng Yang +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · Psychology · #Complex Network Analysis Techniques #Complex network #Computer science #Degree distribution #Disease #Distributed computing #Econometrics #Environmental health #Epidemic disease #Epidemic model #Infection rate #Infectious disease (medical specialty) #Mathematics #Medicine #Mental Health Research Topics #Network structure #Opinion Dynamics and Social Influence #Population #Virology #q-bio.PE
paper · pdf · doi:10.1016/j.physa.2004.05.031
12 pages, 2 figures
arxiv created 2004/02/25 · openalex publication_date 2004/07/06 · arxiv updated 2013/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish inner and the outer infection rate. Unlike household-structure models on homogenous networks, such as regular and random networks, here we consider heterogeneous networks with arbitrary degree distribution p(k). First we introduce the epidemic model. Then rate equations under mean field appropriation and computer simulations are used here to analyze our model. Some unique phenomena only existing in divergent network with household structure is found, while we also get some similar conclusions that some simple geometrical quantities of networks have important impression on infection property of infectous disease. It seems that in our model even when local cure rate is greater than inner infection rate in every household, disease still can spread on scale-free network. It implies that no disease is spreading in every single household, but for the whole network, disease is spreading. Since our society network seems like this structure, maybe this conclusion remind us that during disease spreading we should pay more attention on network structure than local cure condition.