Abstract
We discuss the epidemic network model with infectious force in latent and infected period. We obtain the basic reproduction number and analyze the globally dynamic behaviors of the disease-free equilibrium when the basic reproduction number is less than one. The effects of various immunization schemes are studied. Finally, the final sizes relation is derived for the network epidemic model. The derivation depends on an explicit formula for the basic reproduction number of network of disease transmission models.
Highlights
Disease spreading has been the subject of intense research since long time ago
The derivation depends on an explicit formula for the basic reproduction number of network of disease transmission models
We describe a network epidemic model and calculate the basic reproduction number R0 and the final sizes relation
Summary
Disease spreading has been the subject of intense research since long time ago. On scale-free networks, it was assumed that the larger the node degree, the greater the infectivity of the node, and the infectivity is just equal to the node degree. Under such an assumption, for instance, Pastor-Satorras et al concluded that the epidemic threshold λc 0 for heterogenous networks with sufficiently large size 9. The studies of dynamical processes on complex networks have attracted lots of interests with various subjects 10–15 , and as one of the typical dynamical processes built on complex networks, epidemic spreading has been investigating intensively once more.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
