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

页码：23 / 46

页数：24

共 50 条

[31] Psychosocial interventions for pregnant women in outpatient illicit drug treatment programs compared to other interventions
Terplan, Mishka
Ramanadhan, Shaalini
Locke, Abigail
Longinaker, Nyaradzo
Lui, Steve
COCHRANE DATABASE OF SYSTEMATIC REVIEWS, 2015, (04):
[32] Psychosocial interventions for pregnant women in outpatient illicit drug treatment programs compared to other interventions
Terplan, M.
Lui, S.
COCHRANE DATABASE OF SYSTEMATIC REVIEWS, 2007, (04):
[33] Strategies for controlling the drug supply: Policy recommendations to deal with illicit crops and alternative development programs
Vargas, R
JOURNAL OF DRUG ISSUES, 2005, 35 (01) : 131 - 150
[34] Perceived neighborhood illicit drug selling, peer illicit drug disapproval and illicit drug use among US high school seniors
Duncan, Dustin T.
Palamar, Joseph J.
Williams, James H.
SUBSTANCE ABUSE TREATMENT PREVENTION AND POLICY, 2014, 9
[35] Gender discrimination, educational attainment, and illicit drug use among U.S. women
Hannah Carliner
Aaron L. Sarvet
Allegra R. Gordon
Deborah S. Hasin
Social Psychiatry and Psychiatric Epidemiology, 2017, 52 : 279 - 289
[36] Illicit payments for illicit goods: noncontact drug distribution on Russian online drug marketplaces
Mikhaylov, Alexander
Frank, Richard
GLOBAL CRIME, 2018, 19 (02) : 146 - 170
[37] EFFECT OF CHANGING ENVIRONMENT OF HEALTH CARE ON EDUCATIONAL PROGRAMS
EGEBERG, RO
JOURNAL OF MEDICAL EDUCATION, 1967, 42 (10): : 971 - &
[38] Assessing the effect of educational programs on public schools' performance
Lopez-Torres, Laura
Prior, Diego
Santin, Daniel
APPLIED ECONOMICS, 2019, 51 (48) : 5205 - 5226
[39] DUTCH EDUCATIONAL PROGRAMS HAVE EFFECT ON ORGAN DONATION
Reiger, Jeantine
Van Beek, Michele
Puts, Maartje
TRANSPLANT INTERNATIONAL, 2015, 28 : 173 - 173
[40] EDUCATIONAL PROGRAMS
BRANDLY, CA
JOURNAL OF THE AMERICAN VETERINARY MEDICAL ASSOCIATION, 1950, 117 (884) : 427 - 427

← 1 2 3 4 5 →