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Ahmed, E., El-Sayed, A. and El-Saka, H. (2007) Equilibrium Points, Stability and Numerical Solutions of Fractional-Order Predator-Prey and Rabies Models. Journal of Mathematical Analysis and Applications, 325, 5421-7553.
https://doi.org/10.1016/j.jmaa.2006.01.087

has been cited by the following article:

• 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.