Numerical Solution of a Fractional-Order Predator-Prey Model with Prey Refuge and Additional Food for Predator

Main Authors: Satriyantara, Rio, Suryanto, Agus, Hidayat, Noor
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: Graduate School, University of Brawijaya , 2018
Online Access: https://jels.ub.ac.id/index.php/jels/article/view/253
https://jels.ub.ac.id/index.php/jels/article/view/253/258
Daftar Isi:
  • In this paper, a fractional-order predator-prey model with prey refuge and additional food for predator is solved numerically. For that aim, the model is discretized using a piecewise constant arguments. The equilibrium points of the discrete fractional-order model are investigated. Numerical simulations are conducted to see the stability of each equilibrium point. The numerical simulations show that stability of the equilibrium points is dependent on the time step.Keywords: Additional Food, Fractional-Order, Predator-Prey, Prey Refuge.