A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying View Full Text


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Article Info

DATE

2019-07-09

AUTHORS

Devendra Kumar, Jagdev Singh, Maysaa Al Qurashi, Dumitru Baleanu

ABSTRACT

The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the Caputo–Fabrizio fractional operator for the inclusion of memory. We also suggest the utilization of vaccines, antimalarial medicines, and spraying for the treatment and control of the malaria disease. The theory of fixed point is utilized to examine the existence of the solution of a fractional SIRS-SI model describing spreading of malaria. The uniqueness of the solution of SIRS-SI model for malaria is also analyzed. It is shown that the treatments have great impact on the dynamical system of human and mosquito populations. The numerical simulation of fractional SIRS-SI malaria model is performed with the aid of HATM and Maple packages to show the effect of different parameters of the treatment of malaria disease. The numerical results for fractional SIRS-SI malaria model reveal that the recommended approach is very accurate and effective. More... »

PAGES

278

References to SciGraph publications

  • 2018-07-03. On the analysis of fractional diabetes model with exponential law in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2018-07-16. Analysis of a fractional model of the Ambartsumian equation in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 2018-02-22. A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 2010. New Trends in Nanotechnology and Fractional Calculus Applications in NONE
  • 2012-06-13. On nonlocal boundary value problems of nonlinear q-difference equations in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2011-07-21. Mathematical models of malaria - a review in MALARIA JOURNAL
  • 2017-03-23. A new fractional model for giving up smoking dynamics in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
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