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Immune Response and Imperfect Vaccine in Malaria Dynamics

Author

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  • ASHRAFI NIGER
  • ABBA GUMEL

Abstract

The immune response to malaria and the effects of an imperfect vaccine for this disease are modelled incorporating an n stage parasite life cycle, immune cells, and antibodies. A globally asymptotically stable parasite-free equilibrium occurs when the associated reproduction number is less than unity. An imperfect malaria vaccine that reduces the number of merozoites released per bursting infected red blood cell (IRBC) and that boosts immune response can reduce the concentration of IRBCs in vivo. Numerical simulations show that a vaccine efficacy of at least 87% is necessary to eliminate IRBC in vivo. The concentration of IRBCs varies with the capacity of the vaccine to modify the total number of merozoites released per bursting IRBC.

Suggested Citation

  • Ashrafi Niger & Abba Gumel, 2011. "Immune Response and Imperfect Vaccine in Malaria Dynamics," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(2), pages 55-86.
    • Handle: RePEc:taf:mpopst:v:18:y:2011:i:2:p:55-86
    DOI: 10.1080/08898480.2011.564560
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    Cited by:

    1. Forouzannia, Farinaz & Gumel, A., 2015. "Dynamics of an age-structured two-strain model for malaria transmission," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 860-886.
    2. Deka, Aniruddha & Bhattacharyya, Samit, 2022. "The effect of human vaccination behaviour on strain competition in an infectious disease: An imitation dynamic approach," Theoretical Population Biology, Elsevier, vol. 143(C), pages 62-76.
    3. Ahmed Elaiw & Afnan Al Agha, 2020. "Global Analysis of a Reaction-Diffusion Within-Host Malaria Infection Model with Adaptive Immune Response," Mathematics, MDPI, vol. 8(4), pages 1-32, April.
    4. Mittal, R.C. & Goel, Rohit & Ahlawat, Neha, 2021. "An Efficient Numerical Simulation of a Reaction-Diffusion Malaria Infection Model using B-splines Collocation," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    5. Raouf Boucekkine, 2012. "Epidemics From the Economic Theory Viewpoint," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(1), pages 1-3, January.

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