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Mathematical Analysis of Malaria Epidemic: Asymptotic Stability With Cost-Effectiveness Study

Author

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  • Sacrifice Nana-Kyere
  • Baba Seidu
  • Kwara Nantomah
  • Waleed Adel

Abstract

Malaria is an old, curable vector-borne disease that is devastating in the tropics and subtropical regions of the world. The disease has unmatched complications in the human host, especially in children. Mathematical models of infectious diseases have been the steering wheel, driving scientists towards elucidation of the dynamic behaviour of epidemics and providing tailored strategic management of diseases. With the ongoing vaccination programs for vector-borne diseases, the research proposes a nonlinear differential equation model for the malaria disease that provides public health with a shift from the classical understanding of nonpharmaceutical preventive malaria control to pharmaceutical measures of vaccines. The asymptotic dynamic behaviour of the model is studied at the model’s equilibria. The bifurcation type invoked at the disease-free state is analysed, and the result revealed that the convention that R0

Suggested Citation

  • Sacrifice Nana-Kyere & Baba Seidu & Kwara Nantomah & Waleed Adel, 2024. "Mathematical Analysis of Malaria Epidemic: Asymptotic Stability With Cost-Effectiveness Study," Journal of Applied Mathematics, Hindawi, vol. 2024, pages 1-44, July.
    • Handle: RePEc:hin:jnljam:5533885
    DOI: 10.1155/2024/5533885
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