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Stability of a Mathematical Model of Malaria Transmission with Relapse

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  • 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
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    Cited by:

    1. 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).
    2. 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.
    3. 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).

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