Dynamics of a Two Species Model with Holling Type III Functional Response and Harvesting using Trapezoidal Fuzzy Numbers [TFN]

Abstract

Fuzzy dynamical modeling plays a major role in various fields, especially in biology. In our paper, we can formulate two species models with Holling type III functional response and harvesting as trapezoidal fuzzy numbers. Boundedness and positivity are found using a dynamic system. The existence of equilibrium points is existing in both crisp and fuzzy forms. Additionally, the parameters were defuzzed using a Graded Mean Value approach, and the dynamical system was reduced at various pessimistic levels. Equilibrium points and stability analysis are determined using a variational matrix in both crisp and fuzzy environments. Numerical simulations are carried out using MATLAB software. AMS Subject Classification: 34A07, 37N25, 92Bxx, 34K36.