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A computational study of transmission dynamics for dengue fever with a fractional approach

  • Sunil Kumar
  • , R. P. Chauhan
  • , Jagdev Singh
  • , Devendra Kumar
  • National Institute of Technology Jamshedpur
  • JECRC University
  • University of Rajasthan

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Fractional derivatives are considered an influential weapon in terms of analysis of infectious diseases because of their nonlocal nature. The inclusion of the memory effect is the prime advantage of fractional-order derivatives. The main objective of this article is to investigate the transmission dynamics of dengue fever, we consider generalized Caputo-Type fractional derivative (GCFD) (CD0β,σ) for alternate representation of dengue fever disease model. We discuss the existence and uniqueness of the solution of model by using fixed point theory. Further, an adaptive predictor-corrector technique is utilized to evaluate the considered model numerically.

Original languageEnglish
Article number2021032
JournalMathematical Modelling of Natural Phenomena
Volume16
DOIs
StatePublished - 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being

Keywords

  • Adaptive P-C technique
  • Dengue fever model
  • Existence and uniqueness
  • Fractional derivative
  • Generalized Caputo derivative

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