Existence theory and numerical analysis of three species prey–predator model under Mittag-Leffler power law
Mohammed S. Abdo, Satish K. Panchal, Kamal Shah, Thabet Abdeljawad
Abstract
In this manuscript, the fractional Atangana-Baleanu-Caputo model of prey and predator is studied theoretically and numerically. The existence and Ulam-Hyers stability results are obtained by applying fixed point theory and nonlinear analysis. The approximation solutions for the considered model are discussed via the fractional Adams Bashforth method. Moreover, the behavior of the solution to the given model is explained by graphical representations through the numerical simulations. The obtained results play an important role in developing the theory of fractional analytical dynamic of many biological systems.
Topics & Concepts
MathematicsOrdinary differential equationPartial differential equationPredationApplied mathematicsPredatorFunctional analysisPower (physics)Power lawMathematical analysisDifferential equationEcologyStatisticsPhysicsGeneBiologyQuantum mechanicsChemistryBiochemistryMathematical and Theoretical Epidemiology and Ecology ModelsFractional Differential Equations SolutionsChaos control and synchronization