Dynamical study of addiction modelling under some control strategies

[1] I.K. Adu, M. AL-Rahman and C. Yang, Mathematical model of drinking epidemic, Br. J. Math. Comput. Sci. 22
(2017), no. 5, 1–10.
[2] S. Cole and S. Wirkus, Modeling the dynamics of heroin and illicit opioid use disorder, treatment, and recovery,
Bull. Math. Bio. 84 (2022), no. 4, 1–49.
[3] M. Hafiruddin, Fatmawati and Miswanto, Mathematical model analysis of a drug ransmission with criminal law
and its optimal control, AIP Conf. Proc. 2192 (2019), no. 1, 060010.
[4] R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, 1985.
[5] R. Jason and R. Miranda, Alcohol craving in adolescents: Bridging the laboratory and natural environment,
Psychopharmacology 231 (2014), no. 8, 1841–1851.
[6] G. Johan, R.P. Grasman and H.L. van der Maas, The dynamics of addiction: craving versus self-control, PLoS
One 11 (2016), no. 6, e0158323.
[7] F. L. Matonya and D. Kuznetsov, Mathematical modelling on the effects of drug abuse to the societies, Ann. Pure
Appl. Math. 19 (2019), no. 1, 21–35.8] A.A. Mohsen and R.K. Naji, The role of media coverage on the dynamical behavior of smoking model with and
without spatial diffusion, J. Phys.: Conf. Ser. 1591 (2020), no. 1.
[9] T.O. Orwa and F. Nyabadza, Mathematical modelling and analysis of alcohol-methamphetamine co-abuse in the
Western Cape province of South Africa, Cogent Math. Statist. 6 (2019), no. 1, 1641175.
[10] L. Pengyan, L. Zhang and Y. Xing, Modelling and stability of a synthetic drugs transmission model with relapse
and treatment, J. Appl. Math. Comput. 60 (2018), no. 1, 465–484.
[11] X. Pengcheng, Z. Zhang and X. Sun, Smoking dynamics with health education effect, AIMS Math. 3 (2018), no.
4, 584–599.
[12] R. Resmawan, N. Supu and N. Achmad, Dynamic model analysis of the spread of drug addicts with educational
effects, 1st Int. Conf.. Math. Math. Educ., Atlantis Press, 2021.
[13] E.P. Reyes, Mathematical modeling of the spread of alcoholism among colombian college students, Ingen. Ciencia
16 (2020), no. 32, 92–223.
[14] S. Swarnali and G.P. Samanta, Analysis of a drinking epidemic model, Int. J. Dyn. Control 3 (2015), no. 3,
288–305
[15] UNODC, World Drug Report 2019; Sales No. E.19.XI.8, United Nations Publication: New York, NY, USA, 2019.