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ORIGINAL RESEARCH article

Front. Appl. Math. Stat.
Sec. Mathematical Biology
Volume 10 - 2024 | doi: 10.3389/fams.2024.1487291

Sensitivity Analysis of a mathematical model of malaria transmission, accounting for infected ignorant humans and experience relapse.

Provisionally accepted
Getahun Tadesse Haile Getahun Tadesse Haile *Purnachndra Rao Koya Purnachndra Rao Koya Fekadu Mosisa Legesse Fekadu Mosisa Legesse
  • Wollega University, Nekemte, Ethiopia

The final, formatted version of the article will be published soon.

    In this article, we present and analyze a deterministic malaria model that incorporates ignorant infected humans and relapse. We explore the invariant region and positivity of the model, and calculate the effective reproduction number using the next-generation matrix method. We demonstrate the local and global stability of disease-free equilibrium points using the Routh-Hurwitz criterion and Lyapunov function respectively. The proposed model shows that a disease-free equilibrium point is globally asymptotically stable when the basic reproduction number . We performed a sensitivity analysis on the effective reproduction number to identify which basic parameter that most significantly influences the increase or decrease of malaria cases. This study focuses individuals who have been treated and cured but continue to carry dormant Plasmodium parasites in their blood, which can potentially cause relapse and reinfection. Additionally, we introduce a protected compartment to carefully evaluate how preventive measures influence the spread and persistence of malaria within the population.

    Keywords: sensitivity analysis, Effective reproduction number, relapse, Infected Ignorant, local stability, Global stability

    Received: 27 Aug 2024; Accepted: 06 Dec 2024.

    Copyright: © 2024 Haile, Koya and Legesse. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Getahun Tadesse Haile, Wollega University, Nekemte, Ethiopia

    Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.