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Modeling the mechanisms of methamphetamine abuse transmission with immigration impact and relapse

Abbas, Shahid ; Gómez-Aguilar, J. F. ; ur Rahman, Ghaus ; Asif, Muhammad

European physical journal plus, 2023-06, Vol.138 (6), p.484, Article 484 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
Modeling the mechanisms of methamphetamine abuse transmission with immigration impact and relapse
Autor: Abbas, Shahid ; Gómez-Aguilar, J. F. ; ur Rahman, Ghaus ; Asif, Muhammad
Assuntos: Addictive behaviors ; Amphetamines ; Applied and Technical Physics ; Atomic ; Behavior ; Complex Systems ; Condensed Matter Physics ; Criminal investigations ; Dopamine ; Drug abuse ; Drug addiction ; Epidemics ; Hearing loss ; Hepatitis ; Heroin ; Illnesses ; Laboratories ; Mathematical and Computational Physics ; Mathematical models ; Methamphetamine ; Molecular ; Neurological diseases ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Public health ; Regular Article ; Sensitivity analysis ; Society ; Stability analysis ; Theoretical
É parte de: European physical journal plus, 2023-06, Vol.138 (6), p.484, Article 484
Descrição: Drug addiction is a neurological disorder, and it can be studied using mathematical modeling and computer simulations. The usage of methamphetamine is on the rise globally and has reached an epidemic level. Researchers have focused a lot of attention on the epidemic’s social repercussions. A model describing the dynamics of methamphetamine is introduced in the present research endeavor. The process of the abuse extinction is investigated using the harmonic mean kind of uptake function. Both local and global dynamics near feasible equilibrium points have been explored. The obtained results are illustrated via some examples equipped with graphical expressions. Also, sensitivity analysis for the basic reproduction number is presented. Additionally, the second model examines the impact of immigrants on each compartment of the problem under consideration. The subsequent model takes the immigrant effect into account, so there is no disease-free equilibrium in this case, as the system allows for the immigration of infected individuals. Lastly, the effect of relapse in the susceptible class from the recovered class is also studied in the succeeding third new model. The stability analysis-related results are demonstrated analytically as well as graphically.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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Modeling the mechanisms of methamphetamine abuse transmission with immigration impact and relapse

Abbas, Shahid ; Gómez-Aguilar, J. F. ; ur Rahman, Ghaus ; Asif, Muhammad

Berlin/Heidelberg: Springer Berlin Heidelberg

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