Fractional order heroin epidemic dynamics

Using illicit drugs has been on growth in all over the world especially in the USA, Europe and Asia. It is very harmful to society; it is the fourth foremost cause of death in the United States when taking overdose drug (about the same as motor vehicle crashes). A drug that has a significant detrime...

Full description

Saved in:
Bibliographic Details
Published inAlexandria engineering journal Vol. 60; no. 6; pp. 5157 - 5165
Main Authors Ul Abadin Zafar, Zain, Rezazadeh, Hadi, Inc, Mustafa, Nisar, Kottakkaran Sooppy, Sulaiman, Tukur A., Yusuf, Abdullahi
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2021
Elsevier
Subjects
Adams Bashforth Moulton method
Grunwald-Letnikov method
Heroin epidemics
Stability analysis
White and Comiskey model
Heroin epidemics
White and Comiskey model
Grunwald-Letnikov method
Stability analysis
Adams Bashforth Moulton method
Online AccessGet full text

Cover

More Information
Summary:Using illicit drugs has been on growth in all over the world especially in the USA, Europe and Asia. It is very harmful to society; it is the fourth foremost cause of death in the United States when taking overdose drug (about the same as motor vehicle crashes). A drug that has a significant detrimental effect on a population as a whole is heroin, above all illegal substances. This work discussesthenon-classical mathematical model of White and Comiskey, demonstrating heroin epidemics. We present the existence of stable equilibrium numerically & mathematically. We will apply two methods (i) Adams Bashforth PECE method and (ii) Grunwald-Letnikovmethod (GLM) and simulate the model using Matlab software package.
ISSN:1110-0168
DOI:10.1016/j.aej.2021.04.039