TITLE:
Study of Fractional Order Tri-Tropic Prey-Predator Model with Fear Effect on Prey Population
AUTHORS:
Subrata Paul, Animesh Mahata, Supriya Mukherjee, Prakash Chandra Mali, Banamali Roy
KEYWORDS:
Prey-Predator Model, Stability, Fear Effect, Hopf Bifurcation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.11,
November
18,
2022
ABSTRACT: In this manuscript, we have studied a fractional-order tri-trophic model with the help of Caputo operator. The total population is divided into three parts, namely prey, intermediate predator and top predator. In addition, the predator fear impact on prey population is suggested in this paper. Existence and uniqueness along with non-negativity and boundedness of the model system have been investigated. We have studied the local stability at all equilibrium points. Also, we have discussed global stability and Hopf bifurcation of our suggested model at interior equilibrium point. The Adam-Bashforth-Moulton approach is utilized to approximate the solution to the proposed model. With the help of MATLAB, we were able to conduct graphical demonstrations and numerical simulations.