Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5103530 | Physica A: Statistical Mechanics and its Applications | 2017 | 16 Pages |
Abstract
A new epidemic model with two infection periods is developed to account for the human behavior in social network, where newly infected individuals gradually restrict most of future contacts or are quarantined, causing infectivity change from a degree-dependent form to a constant. The corresponding dynamics are formulated by a set of ordinary differential equations (ODEs) via mean-field approximation. The effects of diverse infectivity on the epidemic dynamics âare examined, with a behavioral interpretation of the basic reproduction number. Results show that such simple adaptive reactions largely determine the impact of network structure on epidemics. Particularly, a theorem proposed by Lajmanovich and Yorke in 1976 is generalized, so that it can be applied for the analysis of the epidemic models with multi-compartments especially network-coupled ODE systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Guanghu Zhu, Guanrong Chen, Xinchu Fu,