Analysis on the behavior of the logistic fixed effort harvesting model through the difference equation under uncertainty

Abstract

ABSTRACT In this article, a logistic fixed effort harvesting model is architected in an imprecise, discrete dynamical frame of mathematical logic. The fuzzy difference equation explores the philosophy behind the computational structure that represents the underflowing discrete behaviour and uncertainty associated with the modelling through discrete calculus and fuzzy decision-making mechanisms. The nonlinear fuzzy difference equations with different initial conditions and coefficients as fuzzy numbers are manifested to recognize the model. Interestingly, the fuzzy difference equations identified in this article can be imparted into a system of crisp difference equations by the characterization theorem. The equilibrium points are traced, and their corresponding stability criteria are analyzed considering different fuzzy cases. The merits and applicability of the proposed theory have been validated through numerical simulation and graphical visualization.