Authors:
Md. Abdul Hye,Md. Haider Ali Biswas,Mohammed Forhad Uddin,DOI NO:
https://doi.org/10.26782/jmcms.2024.11.00009Keywords:
COVID-19,Diabetes,Comorbidity,Co-infection,Vaccination,Abstract
COVID-19 infection is particularly dangerous for individuals with comorbidities such as kidney disease and diabetes due to weakened immunity. While the pandemic has impacted people of all ages and socioeconomic backgrounds, those with underlying medical conditions are more susceptible to severe outcomes. However, the role of vaccination in the co-infection dynamics of COVID-19 among diabetic patients is not well-represented in the literature. This study examines the unique challenges presented by the co-infection of COVID-19 in individuals with diabetes, focusing on disease transmission dynamics. We employ a mathematical modeling approach using a seven-compartment model that incorporates vaccination and comorbidities like diabetes to analyze the dynamics of COVID-19 outbreaks. Analytical investigations were conducted to demonstrate the solutions' existence, boundedness, positivity, and sensitivity. After calculating the basic reproduction number, we performed a stability analysis of the model's equilibrium points. Our findings indicate that when the reproduction number is less than unity, the disease-free equilibrium is both locally and globally stable. Furthermore, as the vaccination rate increases, the incidence of COVID-19 and its co-infections with diabetes decreases. These results suggest that effective disease treatment strategies should consider the potential impact of vaccination on the co-infection of COVID-19 in diabetic patients.Refference:
I. Atkinson, M.A., G.S. Eisenbarth, and A.W. Michels, Type 1 diabetes. The Lancet, 383(9911), 69-82 (2014).
II. Azeez, A., J. Ndege, R. Mutambayi, Y. Qin, A mathematical model for TB/HIV co-infection treatment and transmission mechanism. Asian Journal of Mathematics and Computer Research, 22, 180-192 (2017)
III. Bai, Y., L. Yao, T. Wei, F. Tian, D.-Y. Jin, L. Chen, M. Wang, Presumed asymptomatic carrier transmission of COVID-19. JAMA, 323(14), 1406-1407 (2020).
IV. Bjorgul, K., W.M. Novicoff, K.J. Saleh, Evaluating comorbidities in total
hip and knee arthroplasty: available instruments. Journal of Orthopaedics
and Traumatology, 11, 203-209 (2010).
V. Dang, H.-A.H., M.N. Do, COVID-19 pandemic and the health and well-being of vulnerable people in Vietnam. GLO Discussion Paper (2022).
VI. DiMeglio, L.A., C. Evans-Molina, R.A. Oram, Type 1 diabetes. The Lancet, 391(10138), 2449-2462 (2018).
VII. Egonmwan, A., D. Okuonghae, Mathematical analysis of a tuberculosis model with imperfect vaccine. International Journal of Biomathematics, 12, 1950073 (2019).
VIII. Gomes, C.M., L.A. Favorito, J.V.T. Henriques, A.F. Canalini, K.M. Anzolch, R.d.C. Fernandes, C.H. Bellucci, C.S. Silva, M.L. Wroclawski, A.C.L. Pompeo, Impact of COVID-19 on clinical practice, income, health and lifestyle behavior of Brazilian urologists. International Braz J Urol, 46, 1042-1071 (2020).
IX. Iboi, E.A., C.N. Ngonghala, A.B. Gumel, Will an imperfect vaccine curtail the COVID-19 pandemic in the US? Infectious Disease Modelling, 5, 510-524 (2020).
X. Irena, T.K., S. Gakkhar, A dynamical model for HIV-typhoid co-infection with typhoid vaccine. Journal of Applied Mathematics and Computing, 1-30 (2021).
XI. Mousquer, G.T., A. Peres, M. Fiegenbaum, Pathology of TB/COVID-19 co-infection: the phantom menace. Tuberculosis, 126. 102020 (2021)
XII. Nicola, M., Z. Alsafi, C. Sohrabi, A. Kerwan, A. Al-Jabir, C. Iosifidis, M. Agha, R. Agha, The socio-economic implications of the coronavirus pandemic (COVID-19): A review. International Journal of Surgery, 78, 185-193 (2020)
XIII. Omame, A., U.K. Nwajeri, M. Abbas, C.P. Onyenegecha, A fractional order control model for diabetes and COVID-19 co-dynamics with Mittag-Leffler function. Alexandria Engineering Journal, 61, 7619-7635 (2022).
XIV. Omame, A., N. Sene, I. Nometa, C.I. Nwakanma, E.U. Nwafor, N.O. Iheonu, D. Okuonghae, Analysis of COVID‐19 and comorbidity co‐infection model with optimal control. Optimal Control Applications and Methods, 42(6), 1568-1590 (2021).
XV. World Health Organization, World Health Organization coronavirus disease (COVID-19) dashboard. World Health Organization (2020).
XVI. Polack, F.P., S.J. Thomas, N. Kitchin, J. Absalon, A. Gurtman, S. Lockhart, J.L. Perez, G. Pérez Marc, E.D. Moreira, C. Zerbini, Safety and efficacy of the BNT162b2 mRNA Covid-19 vaccine. New England Journal of Medicine, 383, 2603-2615 (2020).
XVII. Prieto Curiel, R., H. González Ramírez, Vaccination strategies against COVID-19 and the diffusion of anti-vaccination views. Scientific Reports, 11, 6626 (2021).
XVIII. Tang, B., X. Wang, Q. Li, N.L. Bragazzi, S. Tang, Y. Xiao, J. Wu, Estimation of the transmission risk of the 2019-nCoV and its implication for public health interventions. Journal of Clinical Medicine, 9, 462 (2020).
XIX. Tasman, H., An optimal treatment control of TB-HIV coinfection. International Journal of Mathematics and Mathematical Sciences, 2016, 1-10 (2016).
XX. Van den Driessche, P., J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Biosciences, 180, 29-48 (2002).
XXI. Watson, O.J., G. Barnsley, J. Toor, A.B. Hogan, P. Winskill, A.C. Ghani, Global impact of the first year of COVID-19 vaccination: a mathematical modelling study. The Lancet Infectious Diseases, 22, 1293-1302 (2022).
XXII. Zhou, P., X.-L. Yang, X.-G. Wang, B. Hu, L. Zhang, W. Zhang, H.-R. Si, Y. Zhu, B. Li, C.-L. Huang, Addendum: A pneumonia outbreak associated with a new coronavirus of probable bat origin. Nature, 588, E6-E6 (2020).
XXIII. Hye, M.A., Biswas, M.H.A., Uddin, M.F., Rahman, M. M., A mathematical model for the transmission of co-infection with COVID-19 and kidney disease. Sci Rep 14, 5680 (2024).
XXIV. Hye, M.A., Biswas, M.H.A., Uddin, M.F,. Correction to: Mathematical Modeling of Covid-19 and Dengue Co-Infection Dynamics in Bangladesh: Optimal Control and Data-Driven Analysis. Comput Math Model 33, 388 (2022). 10.1007/s10598-023-09580-7