A co-interaction model of HIV and syphilis infection among gay,bisexual and other men who have sex with men  

作　　者：Jummy Funke David Viviane Dias Lima Jielin Zhu Fred Brauer 

机构地区：[1]Department of Mathematics,University of British Columbia,Vancouver,BC,V6T 1Z2,Canada [2]British Columbia Centre for Excellence in HIV/AIDS,St.Paul’s Hospital,Vancouver,BC,V6Z 1Y6,Canada [3]Department of Interdisciplinary Studies,University of British Columbia,Vancouver,BC,V6T 1Z4,Canada [4]Department of Medicine,Faculty of Medicine,University of British Columbia,Vancouver,BC,V6T 1Z3,Canada

出　　处：《Infectious Disease Modelling》2020年第1期855-870,共16页传染病建模（英文）

基　　金：This workwas supported by Professor Fred Brauer’s NSERC under Grant OGPIN 203901-99 and Professor Viviane Dias Lima under CIHR PJT 156147。

摘　　要：We developed a mathematical model to study the co-interaction of HIV and syphilis infection among gay,bisexual and other men who have sex with men(gbMSM).We qualitatively analysed the model and established necessary conditions under which disease-free and endemic equilibria are asymptotically stable.We gave analytical expressions for the reproduction number,and showed that whenever the reproduction numbers of sub-models and co-interaction model are less than unity,the epidemics die out,while epidemics persist when they are greater than unity.We presented numerical simulations of the full model and showed qualitative changes of the dynamics of the full model to changes in the transmission rates.Our numerical simulations using a set of reasonable parameter values showed that:(a)both diseases die out or co-exist whenever their reproduction number is less than or exceed unity.(b)HIV infection impacts syphilis prevalence negatively and vice versa.(c)one possibility of lowering the co-infection of HIV and syphilis among gbMSM is to increase both testing and treatment rates for syphilis and HIV infection,and decrease the rate at which HIV infected individuals go off treatment.

关 键 词：HIV SYPHILIS Mathematical model gbMSM Reproduction number Testing and treatment Stability 

分 类 号：R512.91[医药卫生—内科学]