A prey-refuge harvesting model using intuitionistic fuzzy sets

This study considers the classical Lotka–Volterra model for a prey–predator system with harvesting effort and catchability coefficients for both species incorporating a new prey-refuge parameter. Trapezoidal intuitionistic fuzzy numbers are considered to describe the initial values of the prey and predator population. Generalized Hukuhara intuitionistic fuzzy derivatives of type 1 and type 2 are used to formulate the prey–predator model. Non-negative feasible steady states and stability criteria are analyzed along with strong and weak solutions for the model. Numerical simulations with the help of MATLAB are performed for suitable parameter values, and the results are depicted graphically.