Dynamics and simulations of discretized Caputo-conformable fractional-order Lotka–Volterra models
Feras Yousef, Billel Semmar, Kamal Al Nasr
Abstract
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.
Topics & Concepts
Conformable matrixDiscretizationFractional calculusPiecewiseApplied mathematicsMathematicsConstant (computer programming)Order (exchange)Mathematical optimizationMathematical analysisComputer sciencePhysicsQuantum mechanicsProgramming languageEconomicsFinanceFractional Differential Equations SolutionsAdvanced Control Systems DesignMathematical and Theoretical Epidemiology and Ecology Models