Global dynamics in a heroin epidemic model with different conscious stages and two distributed delays  

作　　者：Xamxinur Abdurahman Zhidong Teng Ling Zhang 

机构地区：[1]College of Mathematics and System Sciences Xinjiang University, Urumqi 830046, P. R. China

出　　处：《International Journal of Biomathematics》2019年第3期249-268,共20页生物数学学报（英文版）

基　　金：the National NatuTal Science Foundation of China (Grant Nos. 11861063, 11771373 and 11401512).

摘　　要：A heroin epidemic model with different conscious stages and distributed delays is constructed. The model allows for conscious drug users and unconscious drug users. The threshold dynamics of the model is established. It is shown that drug-free equilibrium is globally asymptotically stable when basic reproduction number R0<1;when R0>1, the uniform persistence of the model is proved, and it is proved that the endemic equilibrium is globally asymptotically stable.

关 键 词：HEROIN EPIDEMIC model distributed delay global stability STABLE 

分 类 号：G[文化科学]