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

被引：6

作者：

Abdurahman, Xamxinur ^{[1
]}

Teng, Zhidong ^{[1
]}

Zang, Ling ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Heroin epidemic model; distributed delay; global stability; stable; STABILITY;

D O I：

10.1142/S1793524519500384

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

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 R-0 < 1; when R-0 > 1, the uniform persistence of the model is proved, and it is proved that the endemic equilibrium is globally asymptotically stable.

引用

页数：20

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