Effect of Educational Programs on Illicit Drug Epidemics

被引：0
|
作者：
Memarbashi, Reza [1 ]
Pourhosseini, Malek [1 ]
机构：
[1] Semnan Univ, Dept Math, Semnan, Iran
来源：
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2019年 / 51卷 / 03期
关键词：
Backward bifurcation; Global stability; Illicit drugs; Epidemic models; GLOBAL-STABILITY; GEOMETRIC APPROACH; MODEL; DYNAMICS; BIFURCATION; SCHEME;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose and analyze an epidemic model considering the effect of educational programs on the control of illicit drug uses. We compute the threshold quantity R-0 and determine the number of equilibrium points. By applying the center manifold theory, we show that backward bifurcation occurs in the model, further more the global stability of the equilibrium points of the model investigated using Lyapunov functions and geometric approach to stability.
引用
收藏
页码：23 / 46
页数：24
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