IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v75y2009i1p14-29.html
   My bibliography  Save this article

Effects of treatment and drug resistance on the transmission dynamics of malaria in endemic areas

Author

Listed:
  • Chiyaka, Christinah
  • Garira, Winston
  • Dube, Shadreck

Abstract

We present a mathematical model for malaria treatment and spread of drug resistance in an endemic population. The model considers treated humans that remain infectious for some time and partially immune humans who are also infectious to mosquitoes although their infectiousness is always less than their non immune counterparts. The model is formulated by considering delays in the latent periods in both mosquito and human populations and in the period within which partial immunity is lost. Qualitative analysis of the model including positivity and boundedness of solutions is performed. Analysis of the reproductive numbers shows that if the treated humans become immediately uninfectious to mosquitoes then treatment will always reduce the number of sensitive infections. If however treated humans are infectious then for treatment to effectively reduce the number of sensitive infections, the ratio of the infectious period of the treated humans to the infectious period of the untreated humans multiplied by the ratio of the transmission rate from a treated human to the transmission rate of an untreated human should be less than one. Our results show that the spread of drug resistance with treatment as a control strategy depends on the ratio of the infectious periods of treated and untreated humans and on the transmission rates from infectious humans with resistant and sensitive infections. Numerical analysis is performed to assess the effects of treatment on the spread of resistance and infection. The study provides insight into the possible intervention strategies to be employed in malaria endemic populations with resistant parasites by identifying important parameters.

Suggested Citation

  • Chiyaka, Christinah & Garira, Winston & Dube, Shadreck, 2009. "Effects of treatment and drug resistance on the transmission dynamics of malaria in endemic areas," Theoretical Population Biology, Elsevier, vol. 75(1), pages 14-29.
    • Handle: RePEc:eee:thpobi:v:75:y:2009:i:1:p:14-29
    DOI: 10.1016/j.tpb.2008.10.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S004058090800110X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2008.10.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Tianqi Song & Yishi Wang & Yang Li & Guoliang Fan, 2024. "A Mathematical Analysis of Competitive Dynamics and Aggressive Treatment in the Evolution of Drug Resistance in Malaria Parasites," Mathematics, MDPI, vol. 12(10), pages 1-16, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:thpobi:v:75:y:2009:i:1:p:14-29. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.