IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/289349.html
   My bibliography  Save this article

Stability of a Mathematical Model of Malaria Transmission with Relapse

Author

Listed:
  • Hai-Feng Huo
  • Guang-Ming Qiu

Abstract

A more realistic mathematical model of malaria is introduced, in which we not only consider the recovered humans return to the susceptible class, but also consider the recovered humans return to the infectious class. The basic reproduction number is calculated by next generation matrix method. It is shown that the disease-free equilibrium is globally asymptotically stable if , and the system is uniformly persistence if . Some numerical simulations are also given to explain our analytical results. Our results show that to control and eradicate the malaria, it is very necessary for the government to decrease the relapse rate and increase the recovery rate.

Suggested Citation

  • Hai-Feng Huo & Guang-Ming Qiu, 2014. "Stability of a Mathematical Model of Malaria Transmission with Relapse," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, February.
    • Handle: RePEc:hin:jnlaaa:289349
    DOI: 10.1155/2014/289349
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/289349.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/289349.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/289349?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
    ---><---

    Citations

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


    Cited by:

    1. Ghosh, M. & Olaniyi, S. & Obabiyi, O.S., 2020. "Mathematical analysis of reinfection and relapse in malaria dynamics," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    2. Rehman, Attiq ul & Singh, Ram & Singh, Jagdev, 2022. "Mathematical analysis of multi-compartmental malaria transmission model with reinfection," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. Kuddus, Md Abdul & Rahman, Azizur, 2022. "Modelling and analysis of human–mosquito malaria transmission dynamics in Bangladesh," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 123-138.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlaaa:289349. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.