全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

Fractional Order Model for Co-Infection of Streptococcus pneumoniae and COVID-19 with Saturated Incidence Force of Infection

DOI: 10.4236/oalib.1112569, PP. 1-27

Subject Areas: Epidemiology

Keywords: COVID-19 Pneumonia Co-Infection, Banach Fixed-Point Theorem, Atangana-Baleunu in Caputo Sense, Fractional Derivative

Full-Text   Cite this paper   Add to My Lib

Abstract

This study presented and analyzed the fractional order model for co-infection of Streptococcus pneumoniae and COVID-19 by adopting the Atangana-Baleanu derivative in Caputo sense. The solution’s boundedness and non-negativity are derived by applying the Laplace transform of the Atangana-Baleanu derivative in Caputo sense. We established the existence and uniqueness of the solutions of the proposed model using Atangana-Baleanu Caputo Integral, and Banach fixed point theorem. The disease-free equilibrium and basic reproduction number of the model were obtained. The stability of the model was investigated by applying Ulam-Hyers-Rassias stability. The deduced and presented fractional model is fitted to Nigeria’s confirmed daily COVID-19 cases as at February 2024. The numerical solution of the system is derived through the Adams-Bashforth linear multi-step method. The simulation of the overall patients co-infected with COVID-19 and Streptococcus pneumoniae, at different fractional orders was carried out.

Cite this paper

Opara, C. Z. , Erumaka, E. N. , Iheonu, N. O. and Araka, N. N. (2024). Fractional Order Model for Co-Infection of Streptococcus pneumoniae and COVID-19 with Saturated Incidence Force of Infection. Open Access Library Journal, 11, e2569. doi: http://dx.doi.org/10.4236/oalib.1112569.

References

[1]  World Health Organization (WHO) (2023) Website Publication. https://covid19.who.int/region/afro/country/ng://covid19.ncdc.gov.ng/
[2]  Our World in Data 2023. https://ourworldindata.org/covid-vaccinations?country=OWID_WRL
[3]  WorldoMeter Data 2023. https://www.worldometers.info/coronavirus/
[4]  Mitchell, T.J. and Dalziel, C.E. (2014) The Biology of Pneumolysin. In: Anderluh, G. and Gilbert, R., Eds., MACPF/CDC Proteins-Agents of Defence, Attack and Invasion, Springer, 145-160. https://doi.org/10.1007/978-94-017-8881-6_8
[5]  Nigeria Health Watch (2023) Going Beyond Global Commitments to Local Action for Zero Childhood Pneumonia Deaths in Nigeria? https://nigeriahealthwatch.medium.com/going-beyond-global- commitments-to-local-action-for-zero-childhood-pneumonia- deaths-in-nigeria-cc32e8e59280#:~:text=For%20three%20decad es%2C%20pneumonia%20has,rate%20of%20386.15%20per%20100%2C000
[6]  Centers for Disease Control and Prevention (2017) “Streptococcus pneu-moniae” Published on Official Web-site.https://www.cdc.gov/pneumococcal/clinicians/streptococcus-pneumoniae.html
[7]  Omame, A., Abbas, M. and Onyenegecha, C.P. (2022) A Fractional Order Model for the Co-Interaction of COVID-19 and Hepatitis B Virus. Results in Physics, 37, Article 105498. https://doi.org/10.1016/j.rinp.2022.105498
[8]  Baleanu, D., Mohammadi, H. and Rezapour, S. (2020) A Fractional Differential Equation Model for the COVID-19 Transmission by Using the Caputo-Fabrizio Derivative. Advances in Difference Equa-tions, 2020, Article No. 299. https://doi.org/10.1186/s13662-020-02762-2
[9]  Omame, A., Isah, M.E., Abbas, M., Abdel-Aty, A. and Onyenegecha, C.P. (2022) A Fractional Order Model for Dual Variants of COVID-19 and HIV Co-Infection via Atangana-Baleanu Derivative. Alex-andria Engineering Journal, 61, 9715-9731. https://doi.org/10.1016/j.aej.2022.03.013
[10]  Aba Oud, M.A., Ali, A., Alrabaiah, H., Ullah, S., Khan, M.A. and Islam, S. (2021) A Fractional Order Mathematical Model for COVID-19 Dynamics with Quarantine, Isolation, and Environmental Viral Load. Ad-vances in Difference Equations, 2021, Article No. 106. https://doi.org/10.1186/s13662-021-03265-4
[11]  Peter, O.J., Yusuf, A., Oshinubi, K., Oguntolu, F.A., Lawal, J.O., Abioye, A.I., et al. (2021) Fractional Order of Pneu-mococcal Pneumonia Infection Model with Caputo Fabrizio Operator. Results in Phys-ics, 29, Article 104581. https://doi.org/10.1016/j.rinp.2021.104581
[12]  Omame, A., Abbas, M. and Onyenegecha, C.P. (2021) A Fractional-Order Model for COVID-19 and Tuberculosis Co-Infection Using Atangana-Baleanu Derivative. Chaos, Solitons & Fractals, 153, Article 111486. https://doi.org/10.1016/j.chaos.2021.111486
[13]  Aga, B.Z., Keno, T.D., Terfasa, D.E. and Berhe, H.W. (2024) Pneumonia and COVID-19 Co-Infection Modeling with Optimal Control Analysis. Frontiers in Applied Mathe-matics and Statistics, 9, Article 1286914. https://doi.org/10.3389/fams.2023.1286914
[14]  Atangana, A. and Baleanu, D. (2016) New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Ap-plication to Heat Transfer Model. Thermal Science, 20, 763-769. https://doi.org/10.2298/tsci160111018a
[15]  Atangana, A. and Secer, A. (2013) A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Spe-cial Functions. Abstract and Applied Analysis, 2013, Article 279681. https://doi.org/10.1155/2013/279681
[16]  van den Driessche, P. and Watmough, J. (2002) Reproduction Numbers and Sub-Threshold Endemic Equilibria for Compart-mental Models of Disease Transmission. Mathematical Biosciences, 180, 29-48. https://doi.org/10.1016/s0025-5564(02)00108-6

Full-Text


Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133