DYNAMICAL STUDY OF DISCRETE-TIME PREY–PREDATOR MODEL WITH CONSTANT PREY REFUGE UNDER IMPRECISE BIOLOGICAL PARAMETERS
P.K. Santra, G. S. Mahapatra
Abstract
The objective of this paper is to study the dynamical properties of a discrete-time prey–predator model under imprecise biological parameters. We consider refuge for prey species as a constant number. The equilibria of the model are obtained, and the dynamic behaviors of the proposed system are examined for the interval biological parameters. Simulations of the model are performed for different parameters of the model. Numerical simulations demonstrate that the proposed discrete model exhibits rich dynamics of a chaotic and complex nature.
Topics & Concepts
PredationConstant (computer programming)Discrete time and continuous timeChaoticMathematicsInterval (graph theory)Control theory (sociology)Applied mathematicsBiological systemEcologyComputer scienceStatisticsBiologyArtificial intelligenceControl (management)CombinatoricsProgramming languageMathematical and Theoretical Epidemiology and Ecology ModelsMathematical Biology Tumor GrowthFractional Differential Equations Solutions