Global dynamics of a heroin epidemic model with age structure and nonlinear incidence

被引：37
|
作者：
Yang, Junyuan [1 ,2 ]
Li, Xiaoxia [1 ]
Zhang, Fengqin [1 ]
机构：
[1] Yuncheng Univ, Dept Appl Math, Yuncheng 044000, Shanxi, Peoples R China
[2] Shanxi Univ, Complex Sci Res Ctr, Taiyuan 030051, Shanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2016年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nonlinear incidence; equilibria; global stability; INCIDENCE RATES; STABILITY; BEHAVIOR;
D O I：
10.1142/S1793524516500339
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A heroin model with nonlinear incidence rate and age structure is investigated. The basic reproduction number is determined whether or not a heroin epidemic breaks out. By employing the Lyapunov functionals, the drug-free equilibrium is globally asymptotically stable if R-0 <= 1; while the drug spread equilibrium is also globally asymptotically stable if R-0 > 1. Our results imply that improving detected rates and drawing up the efficient prevention play more important role than increasing the treatment for drug users.
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页数：20
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