A Heroin Epidemic Model: Very General Non Linear Incidence, Treat-Age, and Global Stability

被引：62
作者：
Djilali, Salih [1 ]
Touaoula, Tarik Mohammed [1 ]
Miri, Sofiane El-Hadi [2 ]
机构：
[1] Univ Tlemcen, Dept Math, Fac Sci, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria
[2] Univ Tlemcen, Dept GEE, Fac Technol, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria
来源：
ACTA APPLICANDAE MATHEMATICAE | 2017年 / 152卷 / 01期
关键词：
General nonlinear incidence; Global stability; Treat age; ARBITRARILY DISTRIBUTED PERIODS; INFECTIOUS-DISEASE MODELS; NONLINEAR INCIDENCE; ASYMPTOTIC PROPERTIES; ENDEMIC MODELS; SIR; DELAY; TRANSMISSION; PERSISTENCE; SEMIFLOWS;
D O I：
10.1007/s10440-017-0117-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an age structured heroin epidemic model, in a population divided into three sub-populations: the susceptible individuals, the drug users and the drug users under treatment, interacting as follows: Our main contribution consists in considering a nonlinear incidence function in its very general form. Global dynamics of the obtained problem is analyzed.
引用
收藏
页码：171 / 194
页数：24
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