Numerical Analysis of Fractional-Order Dynamic Dengue Disease Epidemic in Sudan

Authors

  • Fathelrhman EL Guma
    Department of Mathematics, Faculty of Science and Arts, Albaha University, Albaha, Saudi Arabia | Department of statistical Study, Peace University, Sudan.
  • Ossama M. Badawy
    Department of biology, Faculty of Science and Arts, Albaha University, Albaha, Saudi Arabia
  • Mohammed Berir
    Department of Mathematics, Faculty of Science and Arts, Albaha University, Albaha, Saudi Arabia | Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan
  • Mohamed A. Abdoon
    Department of Mathematics, Faculty of Science, Bakht Al-Ruda University, Duwaym, Sudan

Keywords:

A fractional Caputo-Fabrizio; Prediction; simulation; Dengue.

Abstract

The main idea of this work is numerical simulation and stability analysis for the fractional-order dynamics of the dengue disease outbreak in Sudan. This research uses a computer technique based on the Adams-Bashforth approach to numerically resolve a fractional-order dengue epidemic in Sudan. Analyses of numerical and dynamic stability show that the fractional-order dengue fever model is sensitive to initial conditions for those parameters. Therefore, the parameters’ values are critical in establishing how many individuals will get better from their sickness and how many will become ill. The proposed method is effective in providing an illustration of the solution’s dynamics over a very long horizon of time, which is crucial for making accurate predictions about the spread of dengue in Sudan. In addition, this method can be utilized to assess the efficacy of various intervention strategies and inform public health policies aimed at reducing the burden of dengue fever in Sudan. It can also assist in identifying areas most susceptible to dengue infestations and prioritizing disease control resources.

Dimensions

M. A. Abdoon & F. L. Hasan, “Advantages of the differential equations for solving problems in mathematical physics with symbolic computation”, Mathematical Modelling of Engineering Problems,9 (2022) 268.

M. Abdoon, F. Hasan & N. Taha, “Computational Technique to Study Analytical Solutions to the Fractional Modified KDV-Zakharov-Kuznetsov Equation”, Abstract and Applied Analysis 2022 (2022).

A. Ahmed, Y. Ali, B. Elmagboul, O. Mohamed, A. Elduma, H. Bashab, A. Mahamoud, H. Khogali, A. Elaagip & T. Higazi, “Dengue fever in the Darfur area, Western Sudan”. Emerging Infectious Diseases. 25 (2019) 2125.

A. Ahmed, A. Elduma, B. Magboul, T. Higazi & Y. Ali, “The first outbreak of dengue fever in Greater Darfur, Western Sudan”, Tropical Medicine And Infectious Disease. 4 (2019) 43.

A. Ahmed, I. Dietrich, A. LaBeaud, S. Lindsay, A. Musa & S. Weaver, “Risks and challenges of arboviral diseases in Sudan: the urgent need for actions”, Viruses 12 (2020) 81.

A. Atangana, & D. Baleanu, “New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model”, ArXiv Preprint ArXiv:1602.03408 (2016).

M. Caputo, & M. Fabrizio, “A new definition of fractional derivative without singular kernel”, Progress in Fractional Differentiation & Applications 1 (2015) 73.

S. Fadugba, “Solution of fractional order equations in the domain of the Mellin transform” , Journal of the Nigerian Society Of Physical Sciences 1 (2019) 138

R. Garrappa, “Numerical solution of fractional differential equations: A survey and a software tutorial”, Mathematics 6 (2018) 16

F. Hasan, & M. Abdoon, “The generalized (2+ 1) and (3+ 1)-dimensional with advanced analytical wave solutions via computational applications”, International Journal Of Nonlinear Analysis And Applications, 12 (2021) 1213

J. Losada & J. Nieto, “Properties of a new fractional derivative without singular kernel”, Progr. Fract. Differ. Appl, 1 (2015) 87

A. Malik, K.Earhart, E. Mohareb , M. Saad, M. Saeed, A. Ageep, & A.Soliman, “Dengue hemorrhagic fever outbreak in children in Port Sudan” , Journal of Infection and Public Health 4 (2011) 1

M. Abdoon, R. Saadeh, M. Berir & F. Guma, “Analysis, modeling and simulation of a fractional-order influenza model”, Alexandria Engineering Journal 74 (2023) 231

C. Milici, G. Drag? anescu & J. Machado,? Introduction to fractional differential equations, Springer, 2018.

M. Soghaier, S. Mahmood, O. Pasha, S. Azam, M. Karsani, M. Elmangory, B. Elmagboul, S. Okoued, S. Shareef & H. Khogali, “Factors associated with dengue fever IgG sero-prevalence in South Kordofan State, Sudan, in 2012: Reporting prevalence ratios”, Journal Of Infection And Public Health 7 (2014) 51

O. Uwaheren, A. Adebisi & O. Taiwo, “Perturbed collocation method for solving singular multi-order fractional differential equations of LaneEmden type”, Journal Of The Nigerian Society Of Physical Sciences 2 (2020) 141.

A. Yusuf, R. Dima, & S. Aina, “Optimized breast cancer classification using feature selection and outliers detection”, Journal of the Nigerian Society Of Physical Sciences 3 (2021) 298.

R. A. Saadeh, M. Abdoon, A. Qazza & M. Berir, “A Numerical Solution of Generalized Caputo Fractional Initial Value Problems”, Fractal And Fractional 7 (2023) 332.

M. Abdoon, F. Hasan & N. Taha, “Computational Technique to Study Analytical Solutions to the Fractional Modified KDV-Zakharov-Kuznetsov Equation”, Abstract And Applied Analysis 2022 (2022).

S. Kumar, S.Ghosh, M. Jleli & S.Araci, “A fractional system of Cauchyreaction diffusion equations by adopting Robotnov function”, Numerical Methods For Partial Differential Equations, 38 (2022) 470.

H.Ramos & M. Rufai, “A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems”, Journal of Mathematical Chemistry (2022) 1.

M. Duromola, A. Momoh, M. Rufai & I. Animasaun, “Insight into 2step continuous block method for solving mixture model and SIR model”, International Journal Of Computing Science And Mathematics 14 (2021) 347.

H. Ramos & M. Rufai, “An adaptive one-point second-derivative Lobattotype hybrid method for solving efficiently differential systems”, International Journal of Computer Mathematics, 99 (2022) 1687.

A. Qazza, M.Abdoon, R.Saadeh & M.Berir, “A New Scheme for Solving a Fractional Differential Equation and a Chaotic System”, European Journal of Pure and Applied Mathematics , 16 (2023) 1128.

F. E. Guma, O. M. Badawy, A. G. Musa, B. O. Mohammed, M. A. Abdoon, M. Berir, S. Y. Salih,“Risk factors for death among COVID-19 Patients admitted to isolation Units in Gedaref state, Eastern Sudan: a retrospective cohort study”, Journal of Survey in Fisheries Sciences 10 (2023) 712.

Published

2023-05-28

How to Cite

Numerical Analysis of Fractional-Order Dynamic Dengue Disease Epidemic in Sudan. (2023). Journal of the Nigerian Society of Physical Sciences, 5(2), 1464. https://doi.org/10.46481/jnsps.2023.1464

Issue

Volume 5, Issue 2, May 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 Fathelrhman EL Guma, Ossama M. Badawy, Mohammed Berir, Mohamed A. Abdoon

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Numerical Analysis of Fractional-Order Dynamic Dengue Disease Epidemic in Sudan. (2023). Journal of the Nigerian Society of Physical Sciences, 5(2), 1464. https://doi.org/10.46481/jnsps.2023.1464

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