摘要
Models for diseases spreading are not just limited to SIS or SIR. For instance, for the spreading of AIDS/HIV, the susceptible individuals can be classified into different cases according to their immunity, and similarly, the infected individuals can be sorted into different classes according to their infectivity. Moreover, some diseases may develop through several stages. Many authors have shown that the individuals' relation can be viewed as a complex network. So in this paper, in order to better explain the dynamical behavior of epidemics, we consider different epidemic models on complex networks, and obtain the epidemic threshold for each ease. Finally, we present numerical simulations for each case to verify our results.
基金
Supported by the Foundation of Anhui Education Bureau under Grant No.KJ2007A003
the Natural Science Foundation of Anhui,China under Grant No.070416225
a Grant from the Health,Welfare and Food Bureau of the Hong Kong SAR Government
NSFC under Grant No.10672146
supported by Shanghai Leading Academic Discipline Project,Project Number:S30104