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 language | English (US) |
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Pages (from-to) | 100-111 |
Number of pages | 12 |
Journal | Nonlinear Engineering |
Volume | 11 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2022 |
Externally published | Yes |
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