Analysis of an Imprecise Fractional-Order Eco-epidemiological Model with Various Forms of Prey Refuges and Predator Harvesting

In this paper, a fractional-order eco-epidemiological model with two populations of prey and predators both vulnerable to infection by predators and harvesting in an imprecise environment is presented. The study proposes two types of functional responses: a non-linear type refuge for infected predators and a linear type refuge for susceptible predators. After developing the model system, the positivity and boundedness of the solutions were analyzed. The local and global stability of the system is studied in order to calculate its equilibrium points. A suitable Lyapunov function is used to study the system’s overall dynamic. To validate the theoretical results and comprehend how changing the system’s characteristics affects its dynamic behavior, a thorough numerical investigation is conducted using MATLAB.