Li, J., Welch, R.M., Nair, U.S., Sever, T.L., Irwin, D.E., Cordon-Rosales, C. and Padilla, N. (2002) Dynamic Malaria Models with Environmental Changes. Proceedings of 34th Southeastern Symposium on System Theory, Huntsville, 19 March 2002, 396-400.
https://doi.org/10.1109/SSST.2002.1027075

has been cited by the following article:

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

  AUTHORS: Yves Tinda Mangongo, Joseph-Désiré Kyemba Bukweli, Justin Dupar Busili Kampempe

  KEYWORDS: Malaria, Fuzzy Analysis, Fuzzy Basic Reproduction Number, Fuzzy Variable, Credibility Measure, Fuzzy Equilibrium, Fuzzy Global Stability

  JOURNAL NAME: American Journal of Operations Research, Vol.11 No.6, October 26, 2021

  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 equilibriumis 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.