American Journal of Operations Research

Volume 11, Issue 6 (November 2021)

ISSN Print: 2160-8830   ISSN Online: 2160-8849

Google-based Impact Factor: 1.72  Citations  

Fuzzy Global Stability Analysis of the Dynamics of Malaria with Fuzzy Transmission and Recovery Rates

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DOI: 10.4236/ajor.2021.116017    374 Downloads   1,748 Views  Citations

ABSTRACT

In this paper, fuzzy techniques have been used to track the problem of malaria transmission dynamics. The fuzzy equilibrium of the proposed model was discussed for different amounts of parasites in the body. We proved that when the amounts of parasites are less than the minimum amounts required for disease transmission (), we reach the model disease-free equilibrium. Using Choquet integral, the fuzzy basic reproduction number through the expected value of fuzzy variable was introduced for the fuzzy Susceptible, Exposed, Infected, Recovered, susceptible-Susceptible, Exposed and Infected (SEIRS-SEI) malaria model. The fuzzy global stabilities were introduced and discussed. The disease-free equilibrium  is globally asymptotically stable if or if the basic reproduction number is less than one (). When and , there exists a co-existing endemic equilibrium which is globally asymptotically stable in the interior of feasible set . Finally, the numerical simulation has been done for showing the effectiveness of our analytical results.

Share and Cite:

Mangongo, Y. , Bukweli, J. and Kampempe, J. (2021) Fuzzy Global Stability Analysis of the Dynamics of Malaria with Fuzzy Transmission and Recovery Rates. American Journal of Operations Research, 11, 257-282. doi: 10.4236/ajor.2021.116017.

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