Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect
Unknown authors
Abstract
The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically.
Topics & Concepts
Allee effectMathematicsPiecewiseBifurcationDiscretizationControl theory (sociology)Constant (computer programming)Applied mathematicsStability (learning theory)Ordinary differential equationDifferential equationNonlinear systemMathematical analysisControl (management)Computer sciencePopulationPhysicsDemographySociologyMachine learningProgramming languageArtificial intelligenceQuantum mechanicsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical SystemsNonlinear Differential Equations Analysis