Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB: An optimal control application

Abraha, 2021, Controlling crop pest with a farming awareness based integrated approach and optimal control, Computational and Mathematical Methods, 3, e1194, 10.1002/cmm4.1194 Aggarwal, 2020, Dynamics of HIV-TB co-infection with detection as optimal intervention strategy, International Journal of Non-linear Mechanics, 120 Aggarwal, 2020, Stability analysis of a delayed HIV-TB co-infection model in resource limitation settings, Chaos, Solitons & Fractals, 140 Aggarwal, 2021, A fractional order HIV-TB co-infection model in the presence of exogenous reinfection and recurrent TB, Nonlinear Dynamics, 104, 4701, 10.1007/s11071-021-06518-9 Aldila, 2021, Optimal control problem and backward bifurcation on malaria transmission with vector bias, Heliyon, 7, 10.1016/j.heliyon.2021.e06824 Bandera, 2001, Molecular epidemiology study of exogenous reinfection in an area with a low incidence of tuberculosis, Journal of Clinical Microbiology, 39, 2213, 10.1128/JCM.39.6.2213-2218.2001 Cai, 2017, Optimal control of a malaria model with asymptomatic class and superinfection, Mathematical Biosciences, 288, 94, 10.1016/j.mbs.2017.03.003 Caminero, 2001, Exogenous reinfection with tuberculosis on a european island with a moderate incidence of disease, American Journal of Respiratory and Critical Care Medicine, 163, 717, 10.1164/ajrccm.163.3.2003070 Campos, 2019, Numerical optimal control of HIV transmission in Octave/MATLAB, Mathematical and Computational Applications, 25, 1, 10.3390/mca25010001 Castillo-Chavez, 2004, Dynamical models of tuberculosis and their applications, Mathematical Biosciences and Engineering, 1, 361, 10.3934/mbe.2004.1.361 Chen, 2020 Coddington, 1955 Das, 2020, The impact of the media awareness and optimal strategy on the prevalence of tuberculosis, Applied Mathematics and Computation, 366, 10.1016/j.amc.2019.124732 Davies, 2020 Diagne, 2021, A mathematical model of COVID-19 with vaccination and treatment, Computational and Mathematical Methods in Medicine, 10.1155/2021/1250129 Egonmwan, 2019, Mathematical analysis of a tuberculosis model with imperfect vaccine, International Journal of Biomathematics, 12, 10.1142/S1793524519500736 Feng, 2000, A model for tuberculosis with exogenous reinfection, Theoretical Population Biology, 57, 235, 10.1006/tpbi.2000.1451 Fleming, 2012, Vol. 1 Goudiaby, 2022, Optimal control analysis of a COVID-19 and tuberculosis co-dynamics model, Informatics in Medicine Unlocked, 28, 10.1016/j.imu.2022.100849 Gumel, 2020 Hezam, 2021, A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen, Advances in Difference Equations, 2021, 1, 10.1186/s13662-021-03271-6 Khajanchi, 2018, Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation, Physica A: Statistical Mechanics and Its Applications, 497, 52, 10.1016/j.physa.2018.01.014 Khan, 2022, Mathematical modeling and analysis of COVID-19: A study of new variant omicron, Physica A: Statistical Mechanics and Its Applications, 599, 10.1016/j.physa.2022.127452 Kifle, 2022, Mathematical modeling for COVID-19 transmission dynamics: A case study in Ethiopia, Results in Physics, 34, 10.1016/j.rinp.2022.105191 Kim, 2018, Mathematical model and intervention strategies for mitigating tuberculosis in the Philippines, Journal of Theoretical Biology, 443, 100, 10.1016/j.jtbi.2018.01.026 Kumar, 2020, Optimal control of infectious disease: Information-induced vaccination and limited treatment, Physica A: Statistical Mechanics and Its Applications, 542, 10.1016/j.physa.2019.123196 Lemecha Obsu, 2020, Optimal control strategies for the transmission risk of COVID-19, Journal of Biological Dynamics, 14, 590, 10.1080/17513758.2020.1788182 Lenhart, 2007 Makinde, 2011, Impact of chemo-therapy on optimal control of malaria disease with infected immigrants, Biosystems, 104, 32, 10.1016/j.biosystems.2010.12.010 Mekonen, 2022, Optimal control analysis for the coinfection of COVID-19 and TB, Arab Journal of Basic and Applied Sciences, 29, 175, 10.1080/25765299.2022.2085445 Mohammed-Awel, 2019, Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics, Mathematical Biosciences, 312, 33, 10.1016/j.mbs.2019.02.008 Mondal, 2022, Mathematical modeling and optimal intervention strategies of the COVID-19 outbreak, Nonlinear Dynamics, 109, 177, 10.1007/s11071-022-07235-7 Motta, 2020, Tuberculosis, COVID-19 and migrants: Preliminary analysis of deaths occurring in 69 patients from two cohorts, Pulmonology, 26, 233, 10.1016/j.pulmoe.2020.05.002 Mousquer, 2021, Pathology of TB/COVID-19 co-infection: The phantom menace, Tuberculosis, 126, 10.1016/j.tube.2020.102020 Mtisi, 2009, A mathematical analysis of malaria and tuberculosis co-dynamics, Discrete and Continuous Dynamical Systems-B, 12, 827, 10.3934/dcdsb.2009.12.827 Mukandavire, 2009 Okosun, 2013, Optimal control analysis of malaria in the presence of non-linear incidence rate, Applied and Computational Mathematics, 12, 20 Omame, 2021, A fractional-order model for COVID-19 and tuberculosis co-infection using atangana–baleanu derivative, Chaos, Solitons & Fractals, 153, 10.1016/j.chaos.2021.111486 Omame, 2021, A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis, International Journal of Biomathematics, 14, 10.1142/S1793524521500509 Omame, 2020, Analysis of a co-infection model for HPV-TB, Applied Mathematical Modelling, 77, 881, 10.1016/j.apm.2019.08.012 Omame, 2021, Analysis of COVID-19 and comorbidity co-infection model with optimal control, Optimal Control Applications and Methods, 42, 1568, 10.1002/oca.2748 Petrone, 2021, Coinfection of tuberculosis and COVID-19 limits the ability to in vitro respond to SARS-CoV-2, International Journal of Infectious Diseases, 113, S82, 10.1016/j.ijid.2021.02.090 Pontryagin, 1987 van Rie, 1999, Exogenous reinfection as a cause of recurrent tuberculosis after curative treatment, New England Journal of Medicine, 341, 1174, 10.1056/NEJM199910143411602 Ross, 2015 Rwezaura, 2022, Mathematical modeling and optimal control of SARS-CoV-2 and tuberculosis co-infection: A case study of Indonesia, Modeling Earth Systems and Environment, 8, 5493, 10.1007/s40808-022-01430-6 Sharomi, 2008, Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment, Mathematical Biosciences and Engineering, 5, 145, 10.3934/mbe.2008.5.145 Silva, 2013, Optimal control for a tuberculosis model with reinfection and post-exposure interventions, Mathematical Biosciences, 244, 154, 10.1016/j.mbs.2013.05.005 Silva, 2015 TB-Treatment Tchoumi, 2021, Malaria and COVID-19 co-dynamics: A mathematical model and optimal control, Applied Mathematical Modelling, 99, 294, 10.1016/j.apm.2021.06.016 Van den Driessche, 2002, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180, 29, 10.1016/S0025-5564(02)00108-6 WHO, 2020 WHO, 2020 WHO, 2021 WHO, 2023 Yavuz, 2021, A new mathematical modeling of the COVID-19 pandemic including the vaccination campaign, Open Journal of Modelling and Simulation, 9, 299, 10.4236/ojmsi.2021.93020 Zhang, 2003, Global dynamics of an SEIR epidemic model with saturating contact rate, Mathematical Biosciences, 185, 15, 10.1016/S0025-5564(03)00087-7 Zhang, 2021, Mathematical assessment of constant and time-dependent control measures on the dynamics of the novel coronavirus: An application of optimal control theory, Results in Physics, 31, 10.1016/j.rinp.2021.104971