Study of chronic myeloid leukemia with T-cell under fractal-fractional order model

Kamal Shah, Shabir Ahmad, Aman Ullah, Thabet Abdeljawad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This research work is devoted to investigate myeloid leukemia mathematical model. We give some details about the existence of trivial and nontrivial equilibrium points and their stability. Also, local asymptotical stability of disease-free and endemic equilibrium points is discussed. Also, positivity of the solution has been discussed. Some sufficient results are achieved to study the local existence and uniqueness of solution to the considered model for Mittag-Leffler kernel using the Banach contraction theorem. Three numerical algorithms are derived in obtaining the numerical solution of suggested model under three different kernels using Adams-Basforth technique. Numerical results have been presented for different fractals and fractional orders to show the behavior of the proposed model.

Original languageEnglish
Article number20240032
JournalOpen Physics
Volume22
Issue number1
DOIs
Publication statusPublished - 1 Jan 2024
Externally publishedYes

Keywords

  • Adams-Basforth method
  • fractal-fractional operators
  • model
  • myeloid leukemia

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