Abstract
The contacting heterogeneity is crucial for the propagation of directed transmitted infectious diseases. Here we construct a stochastic model on the level of subgroups which are classified according to the activity degrees of the hosts. Using the central limit theorem, we present the analytical results concerning with the fluctuations around the outbreak prevalence. In particular, we get the forms of the covariance matrix for Gaussian random diffusions as well as the laws of outbreak prevalence for SIR epidemics. So that the analytical distributions for the outbreak prevalence of the SIR epidemics in complex networks are presented, which can be used in outbreak prevalence predicting and transmission intensity inferring.
Sign-in/Register to access full text options 
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 callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
