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Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis

Author

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  • Saima Rashid
  • Bushra Kanwal
  • Abdulaziz Garba Ahmad
  • Ebenezer Bonyah
  • S.K. Elagan

Abstract

In this article, we investigated a deterministic model of pneumonia‐meningitis coinfection. Employing the Atangana–Baleanu fractional derivative operator in the Caputo framework, we analyze a seven‐component approach based on ordinary differential equations (DEs). Furthermore, the invariant domain, disease‐free as well as endemic equilibria, and the validity of the model’s potential results are all investigated. According to controller design evaluation and modelling, the modulation technique devised is effective in diminishing the proportion of incidences in various compartments. A fundamental reproducing value is generated by exploiting the next generation matrix to assess the properties of the equilibrium. The system’s reliability is further evaluated. Sensitivity analysis is used to classify the impact of each component on the spread or prevention of illness. Using simulation studies, the impacts of providing therapy have been determined. Additionally, modelling the appropriate configuration demonstrated that lowering the fractional order from 1 necessitates a rapid initiation of the specified control technique at the largest intensity achievable and retaining it for the bulk of the pandemic’s duration.

Suggested Citation

  • Saima Rashid & Bushra Kanwal & Abdulaziz Garba Ahmad & Ebenezer Bonyah & S.K. Elagan, 2022. "Novel Numerical Estimates of the Pneumonia and Meningitis Epidemic Model via the Nonsingular Kernel with Optimal Analysis," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4717663
    DOI: 10.1155/2022/4717663
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    References listed on IDEAS

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    1. Atangana, Abdon & Gómez-Aguilar, J.F., 2017. "Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 285-294.
    2. Saima Rashid & Sobia Sultana & Yeliz Karaca & Aasma Khalid & Yu-Ming Chu, 2022. "Some Further Extensions Considering Discrete Proportional Fractional Operators," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-12, February.
    3. Tilahun, Getachew Teshome & Makinde, Oluwole Daniel & Malonza, David, 2018. "Co-dynamics of Pneumonia and Typhoid fever diseases with cost effective optimal control analysis," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 438-459.
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