Dynamical study of discrete prey-predator system incorporating proportional prey refuge with interval parameters
摘要
This paper presents the dynamical properties of a discrete-time prey-predator model with refuge in prey under imprecise biological parameters. We consider the refuge concept of prey, which is proportional to the density of prey species with interval parameters. The model develops with natural interval parameters since the uncertainties of parameters of any ecological system are a widespread phenomenon in nature. The equilibria of the model are obtained, and the dynamic behaviours of the proposed system are examined. Simulations of the model are performed for different parameters of the model. Numerical simulations show that the proposed discrete model exhibits rich dynamics of a chaotic and complex nature. Our study, through analytical derivation and numerical example, presents the effect of refuge on population dynamics under imprecise biological parameters.