Approximation model andanalysis of sexually transmitted diseases
ZHAO Xiaoqian1，QIN Peng2，ZHANG Juping3
1.School of Science， North University of China， Taiyuan 030051， China；2.School of Electrical and Control Engineering， North University of China， Taiyuan 030051， China；3.Complex Systems Research Center， Shanxi University， Taiyuan 030051， China
Abstract：Sexual contact is the main transmission route of sexually transmitted diseases， which is a social relationship by sexual relations forms sexual contact network. It is more practical and accurate to establish a model to study sexually transmitted diseases on the sexual contact network.Therefore， the susceptible-infected-susceptible(SIS) model on the sexual contact network is established in this article. Using pair approximation method， the system becomes 8 dimensions system. We calculate the basic reproduction number R0. When R0<1， the disease-free equilibrium is locally asymptotically stable. When R0>1， the existence of positive equilibrium is obtained under different conditions. When certain condition is met， backward branch appears. Finally， the theoretical results are verified by numerical simulation， which provides a theoretical basis for the analysis of sexually transmitted diseases.
2020, Vol. 54 
