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Research Article

Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies

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Pages 640-664 | Received 05 Apr 2022, Accepted 01 Aug 2022, Published online: 16 Aug 2022

References

  • I. Ahmed, E.F.D. Goufo, A. Yusuf, P. Kumam, P. Chaipanya, and K. Nonlaopon, An epidemic prediction from analysis of a combined HIV-COVID-19 co-infection model via ABC-fractional operator. Alexandria Eng. J. 60(3) (2021), pp. 2979–2995.
  • Y.J. Baek, T. Lee, Y. Cho, J.H. Hyun, M.H. Kim, Y. Sohn, J.H. Kim, Sohn Y., Choi J.Y., A mathematical model of COVID-19 transmission in a tertiary hospital and assessment of the effects of different intervention strategies. PloS one 15(10) (2020), pp. e0241169.
  • E.A. Bakare, and C.R. Nwozo, Bifurcation and sensitivity analysis of malaria–schistosomiasis co-infection model. Int. J. Appl. Comput. Math. 3(1) (2017), pp. 971–1000.
  • C. Castillo-Chavez, and B. Song, Dynamical models of tuberculosis and their applications. Math. Biosci. Eng. 1(2) (2004), pp. 361–404.
  • T.-M. Chen, J. Rui, Q.-P. Wang, Z.-Y. Zhao, J.-A. Cui, and L. Yin, A mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infect. Dis. Poverty. 9(1) (2020), pp. 1–8.
  • L. Cirrincione, F. Plescia, C. Ledda, V. Rapisarda, D. Martorana, R.E. Moldovan, K. Theodoridou, and E. Cannizzaro, COVID-19 pandemic: Prevention and protection measures to be adopted at the workplace. Sustainability 12(9) (2020), pp. 3603.
  • D.O. Daniel, Mathematical model for the transmission of COVID-19 with nonlinear forces of infection and the need for prevention measure in Nigeria. J. Infect. Dis. Epidem 6 (2021), pp. 158.
  • E.E. Endashaw, and T.T. Mekonnen, Modeling the effect of vaccination and treatment on the transmission dynamics of hepatitis B virus and HIV/AIDS coinfection. J. Appl. Math. 2022 (2022), 1–27.
  • W. Gao, H.M. Baskonus, and L. Shi, New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system. Adv. Differ. Equ. 2020(1) (2020), pp. 1–11.
  • W. Gao, P. Veeresha, H.M. Baskonus, D.G. Prakasha, and P. Kumar, A new study of unreported cases of 2019-nCOV epidemic outbreaks. Chaos, Solitons Fractals 138 (2020), pp. 109929.
  • W. Gao, P. Veeresha, D.G. Prakasha, and H.M. Baskonus, Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique. Biology. (Basel) 9(5) (2020), pp. 107.
  • H.A. Gesesew, L. Mwanri, J.H. Stephens, K. Woldemichael, and P. Ward, COVID/HIV co-infection: A syndemic perspective on what to ask and how to answer. Front. Public. Health. 9 (2021), pp. 193.
  • A.B. Gumel, J.M.-S. Lubuma, O. Sharomi, and Y.A. Terefe, Mathematics of a sex-structured model for syphilis transmission dynamics. Math. Methods. Appl. Sci. 41(18) (2018), pp. 8488–8513.
  • I.M. Hezam, A. Foul, and A. Alrasheedi, A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen. Adv. Differ. Equ. 2021(1) (2021), pp. 1–30.
  • A. Kumar, A. Prakash, and H.M. Baskonus, The epidemic COVID-19 model via Caputo–Fabrizio fractional operator. Waves Random Complex Media 32 (2022), pp. 1–15.
  • J.Y. Mugisha, J. Ssebuliba, J.N. Nakakawa, C.R. Kikawa, and A. Ssematimba, Mathematical modeling of COVID-19 transmission dynamics in Uganda: Implications of complacency and early easing of lockdown. PloS one 16(2) (2021), pp. e0247456.
  • S.S. Musa, I.A. Baba, A. Yusuf, T.A. Sulaiman, A.I. Aliyu, S. Zhao, and D. He, Transmission dynamics of SARS-CoV-2: A modeling analysis with high-and-moderate risk populations. Results Phys. 26 (2021), pp. 104290.
  • A. Nwankwo, and D. Okuonghae, Mathematical analysis of the transmission dynamics of HIV syphilis co-infection in the presence of treatment for syphilis. Bull. Math. Biol. 80(3) (2018), pp. 437–492.
  • A. Omame, N. Sene, I. Nometa, C.I. Nwakanma, E.U. Nwafor, N.O. Iheonu, and D. Okuonghae, Analysis of COVID-19 and comorbidity co-infection model with optimal control. Optimal Control Appl. Methods 42(6) (2021), pp. 1568–1590.
  • P. Riyapan, S.E. Shuaib, and A. Intarasit, A mathematical model of COVID-19 pandemic: A case study of Bangkok, Thailand. Comput. Math. Methods. Med. 2021 (2021), 1–11.
  • P. Ssentongo, E.S. Heilbrunn, A.E. Ssentongo, S. Advani, V.M. Chinchilli, J.J. Nunez, and P. Du, Epidemiology and outcomes of COVID-19 in HIV-infected individuals: A systematic review and meta-analysis. Sci. Rep. 11(1) (2021), pp. 1–12.
  • D. Sun, X. Long, and J. Liu, Modeling the COVID-19 epidemic with multi-population and control strategies in the United States. Front. Public. Health. 9 (2021), pp. 1–14.
  • S.Y. Tchoumi, M.L. Diagne, H. Rwezaura, and J.M. Tchuenche, Malaria and COVID-19 co-dynamics: A mathematical model and optimal control. Appl. Math. Model. 99 (2021), pp. 294–327.
  • S.W. Teklu, and B.S. Kotola, The impact of protection measures and treatment on pneumonia infection: A mathematical model analysis supported by numerical simulation. bioRxiv 2022 (2022), pp. 1–22.
  • S.W. Teklu, and T.T. Mekonnen, HIV/AIDS-pneumonia co-infection model with treatment at each infection stage: Mathematical analysis and numerical simulation. J. Appl. Math. 2021 (2021), 1–21.
  • S.W. Teklu, and K.P. Rao, HIV/AIDS-pneumonia codynamics model analysis with vaccination and treatment. Comput. Math. Methods. Med. 2022 (2022), pp. 1–20.
  • S.W. Teklu, and B.B. Terefe, Mathematical modeling analysis on the dynamics of university students’ animosity towards mathematics with optimal control theory. Sci. Rep. 12(1) (2022), pp. 1–19.
  • T. Tolossa, R. Tsegaye, S. Shiferaw, B. Wakuma, D. Ayala, B. Bekele, and T. Shibiru, Survival from a triple co-infection of COVID-19, HIV, and tuberculosis: A case report. Int. Med. Case. Rep. J. 14 (2021), pp. 611–615.
  • P. Van den Driessche, and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180(1-2) (2002), pp. 29–48.
  • P. Veeresha, W. Gao, D.G. Prakasha, N.S. Malagi, E. Ilhan, and H.M. Baskonus, New dynamical behaviour of the coronavirus (2019-ncov) infection system with non-local operator from reservoirs to people. Inform. Sci Lett 10(2) (2021), pp. 17.
  • I.M. Wangari, S. Sewe, G. Kimathi, M. Wainaina, V. Kitetu, and W. Kaluki, Mathematical modelling of COVID-19 transmission in Kenya: A model with reinfection transmission mechanism. Comput. Math. Methods. Med. 2021 (2021), 1–18.
  • H.M. Yang, L.P. Lombardi Junior, F.F.M. Castro, and A.C. Yang, Mathematical modeling of the transmission of SARS-CoV-2, evaluating the impact of isolation in São Paulo State (Brazil) and lockdown in Spain associated with protective measures on the epidemic of CoViD-19. Plos One 16(6) (2021), pp. e0252271.
  • A. Zeb, E. Alzahrani, V.S. Erturk, and G. Zaman, Mathematical model for coronavirus disease 2019 (COVID-19) containing isolation class. BioMed Res. Int. 2020 (2020), pp. 1–7.