DYNAMICAL BEHAVIOR ANALYSIS OF A TWO-DIMENSIONAL DISCRETE PREDATOR-PREY MODEL WITH PREY REFUGE AND FEAR FACTOR
Rui Ma, Yuzhen Bai, Fei Wang
Abstract
This paper investigates the dynamics of an improved discrete Leslie-Gower predator-prey model with prey refuge and fear factor. First, a discrete Leslie-Gower predator-prey model with prey refuge and fear factor has been introduced. Then, the existence and stability of fixed points of the model are analyzed. Next, the bifurcation behaviors are discussed, both flip bifurcation and Neimark-Sacker bifurcation have been studied. Finally, some simulations are given to show the effectiveness of the theoretical results.
Topics & Concepts
PredationBifurcationPredatorMathematicsControl theory (sociology)Applied mathematicsStability (learning theory)Discrete time and continuous timeMathematical economicsStatisticsEcologyComputer scienceBiologyPhysicsArtificial intelligenceNonlinear systemControl (management)Quantum mechanicsMachine learningMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsMathematical Biology Tumor Growth