Dynamics and simulations of discretized Caputo-conformable fractional-order Lotka-Volterra models

Feras Yousef, Billel Semmar, Kamal Al Nasr

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this article, a prey-predator system is considered in Caputo-conformable fractional-order derivatives. First, a discretization process, making use of the piecewise-constant approximation, is performed to secure discrete-time versions of the two fractional-order systems. Local dynamic behaviors of the two discretized fractional-order systems are investigated. Numerical simulations are executed to assert the outcome of the current work. Finally, a discussion is conducted to compare the impacts of the Caputo and conformable fractional derivatives on the discretized model.

Original languageEnglish (US)
Pages (from-to)100-111
Number of pages12
JournalNonlinear Engineering
Volume11
Issue number1
DOIs
StatePublished - Jan 1 2022
Externally publishedYes

Keywords

  • Caputo fractional derivative
  • bifurcations
  • chaos
  • conformable fractional derivative
  • discretization
  • prey-predator system
  • stability

ASJC Scopus subject areas

  • General Chemical Engineering
  • Modeling and Simulation
  • General Engineering
  • Computer Networks and Communications

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