A non-linear optimal control model for illicit drug use and terrorism dynamics in developing countries with time-dependent control variables

Akanni, 2020, Global asymptotic dynamics of a nonlinear illicit drug use system, J. Appl. Math. Comput., 23 2013 2019 Akanni, 2022, Mathematical assessment of the role of illicit drug use on terrorism spread dynamics, J. Appl. Math. Comput., 28 2020 Bruckberger, 2018 Gill, 2015 Substance Use and Violent Extremism, European Commission Union Report 2021, European Union. Abidemi, 2022, Dynamics of illicit drug use and banditry population with optimal control strategies and cost-effectiveness analysis, Comput. Appl. Math., 41, 1, 10.1007/s40314-022-01760-2 Pang, 2015, A mathematical model approach for tobacco control in China, Appl. Math. Comput., 259, 497 Kalula, 2012, A theoretical model for substance abuse in the presence of treatment, South Afr. J. Sci., 12 T.O. Orwa, F. Nyabadza, Mathematical modelling and analysis of alcohol-methamphetamine co-abuse in the Western Cape Province of South Africa, 6, 1641175. J.K. Kanyaa, S. Osman, M. Wainaina, Mathematical Modelling of Substance Abuse by Commercial Drivers, Global J. Pure Appl. Math. (ISSN: 0973-1768) 14 (9) 1149–1165, Research India Publications, 14, 9. Abidemi, 2022, Optimal cost–effective control of drug abuse by students: Insight from mathematical modeling, Model. Earth Syst. Environ., 2022, 19 Omame, 2023, Modeling SARS-CoV-2 and HBV co-dynamics with optimal control, Physica A, 165 Akanni, 2023, Relationship between illicit drug users and bandits in a population: Mathematical modelling approach, Appl. Math. Inf. Sci., 17, 405 Akanni, 2020, Asymptotic stability of illicit drug dynamics with banditry compartment, Appli. Math. Inf. Sci., 14, 791, 10.18576/amis/140506 Memon, 2021, Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study, Chaos Solitons Fractals, 2021, 17 Ngonghala, 2020, Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel coronavirus, Math. Biosci., 1, 108364, 10.1016/j.mbs.2020.108364 Omame, 2021, A co-infection model for oncogenic human papillomavirus and tuberculosis with optimal control and cost-effectiveness analysis, Optim. Control Appl. Methods, 2021, 1 Abdelrazec, 2016, Modeling the spread and control of dengue with limited public health resources, Math. Biosci., 271, 136, 10.1016/j.mbs.2015.11.004 Agusto, 2017, Optimal control and cost-effective analysis of malaria/visceral leishmaniasis co-infection, PLoS One, 12, 10.1371/journal.pone.0171102 Makinde, 2023, Modelling the impact of drug abuse on a nation’s education sector, J. Appl. Nonlinear Dyn., 12, 53, 10.5890/JAND.2023.03.004 Ghosh, 2020, Mathematical analysis of reinfection and relapse in malaria dynamics, Appl. Math. Comput., 373 Berhe, 2018, Optimal control and cost-effectiveness analysis for dysentery epidemic model, Appl. Math. Inf. Sci., 12, 1183, 10.18576/amis/120613 Abidemi, 2019, Global stability and optimal control of dengue with two coexisting virus serotypes, MATEMATIKA: Malaysian J. Ind. Appl. Math., 35, 149, 10.11113/matematika.v35.n4.1269 Abidemi, 2020, Optimal control strategies for dengue fever spread in Johor, Malaysia, Comput. Methods Programs Biomed., 196, 10.1016/j.cmpb.2020.105585 Abimbade, 2020, Optimal control analysis of a tuberculosis model with exogenous re-infection and incomplete treatment, Optim. Control Appl. Methods, 41, 2349, 10.1002/oca.2658 Asamoah, 2021, Optimal control and cost-effectiveness analysis for dengue fever model with asymptomatic and partial immune individuals, Results Phys., 31, 10.1016/j.rinp.2021.104919 Abidemi, 2020, Vaccination and vector control effect on dengue virus transmission dynamics: Modelling and simulation, Chaos Solitons Fractals, 133, 10.1016/j.chaos.2020.109648 Fleming, 1975 Pontryagin, 1962 Nyabadza, 2019, Modeling cholera transmission dynamics in the presence of limited resources, BMC Res. Notes, 12, 8 Olaniyi, 2021, Mathematical modelling and optimal cost-effective control of COVID-19 transmission dynamics, Eur. Phys. J. Plus, 135, 1 Omame, 2022, An optimal control model for COVID-19, Zika, Dengue, and Chikungunya co-dynamics with reinfection, Optim. Control Appl. Methods, 44, 170, 10.1002/oca.2936 Abidemi, 2021, Impact of control interventions on COVID-19 population dynamics in Malaysia: A mathematical study, Eur. Phys. J. Plus, 136, 1, 10.1140/epjp/s13360-021-01205-5 Omame, 2022, Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV, Results Phys., 37, 10.1016/j.rinp.2022.105481 Romero-Leiton, 2019, An optimal control problem and cost-effectiveness analysis of malaria disease with vertical transmission applied to San Andrés de Tumaco (Colombia), Comput. Appl. Math., 38, 1, 10.1007/s40314-019-0909-2 Nyabadza, 2017, A systems dynamic model for drug abuse and drug-related crime in Western Cape Province of South Africa, Hindawi Comput. Math. Methods Med., 13 2020 Pluddemann, 2010, Monitoring alcohol and substance abuse trends in South Africa, SACENDU Res. Brief, 13, 1 Peltzer, 2010 Lenhart, 2007 Asamoah, 2021, Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions, Chaos Solitons Fractals, 146, 10.1016/j.chaos.2021.110885 Asamoah, 2022, Optimal control and comprehensive cost-effectiveness analysis for COVID-19, Results Phys., 10.1016/j.rinp.2022.105177