Results and Discussion of the Food Chain Model with Different Fear Effects under Uncertain Environment

Abstract

The parameter involve in ecological model always uncertain due to environmental and demographic fuzziness. In this paper, we consider a food chain model with different fear effects in which all ecological parameters are taken into account in a parametric functional form of an interval number. In the suggested model, the middle predator is the specialist. Using the interval differential equation approach, we point out the importance of modeling on uncertainity by the proposed model. Existence and uniqueness along with non-negativity and boundedness of the model system have been investigated. Equilibrium points and their feasibility and nature of critical points of the proposed system are discussed in uncertain environment with the help of MATLAB. We were able to conduct graphical demonstrations and numerical simulations.