Epidemic Spreading with Variant Infection Rates on Scale-Free Network

Abstract

In this paper, we proposed a susceptible-infected model with variant infection rates because different individuals have different resistance to diseases in different periods of real epidemic events. We consider two cases: Case 1, we know every individual’s infection rate to a kind of epidemic, satisfy a type of distribution. Case 2, assume all individuals have same initial infection rates, a susceptible individual’s infection rate will be less than the initial rate if he is not infected after limited number of contacts with infected ones. For both two cases, at the time t_D, preventive and control measures bring into effects, every individual’s infection rate would decrease. We implemented this models on scale-free networks, and found that the epidemic process before the time t_D in Case 1 is almost the same as that in Standard SI model if the infection rate in Standard SI model equals the mean infection rate in Case 1. Furthermore, using numerical simulation, we analysis the effects of the parameter t_D, and find the bimodal distribution of final infection rates. Finally, we conclude what we get in this paper and give our future direction.