Analysis of the fractional polio model with the Mittag-Leffler kernels

  • iqbal, Muhammad Sajid
  • Ahmed, Nauman
  • Akgül, Ali
  • Satti, Ammad Mehmood
  • Iqbal, Zafar
  • 외 5명
Citations

WEB OF SCIENCE

9
Citations

SCOPUS

8

초록

This article investigates the transmission of polio-virus disease in the human population. The classical model is considered for studying fatal disease. First of all, the model is converted into the fractal fractional epidemic model. Then, the existence of the solution for the said model is ensured with the help of the fixed point theory. Points of equilibria for the model are worked out. The basic reproduction number is described and its role in the disease communication and stability of the model is examined by some standard results. Simulated graphs are also plotted to support the pre-results and claims. Lastly, the findings of the study are presented.

키워드

PolioMathematical modelFractional calculusOptimal existenceNumerical simulationsCell proliferationFixed point arithmeticVirusesCalculationsClassical modelingEpidemic modelingFatal diseaseFractional calculusHuman populationMittag-LefflerOptimal existencePolioPolio virusVirus disease
제목
Analysis of the fractional polio model with the Mittag-Leffler kernels
저자
iqbal, Muhammad SajidAhmed, NaumanAkgül, AliSatti, Ammad MehmoodIqbal, ZafarRaza, AliRafiq, MuhammadAnjum, RukhshandaZakarya, MohammedPark, Choonkil
DOI
10.1016/j.aej.2022.08.025
발행일
2023-02
유형
Article
저널명
AEJ - Alexandria Engineering Journal
64
페이지
957 ~ 967

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