A discrete-time fractional-order Rosenzweig-Macarthur predator-prey model involving prey refuge

Hasan S. Panigoro, Emli Rahmi, Novianita Achmad, Sri Lestari Mahmud, R. Resmawan, Agusyarif Rezka Nuha

Abstract


In this article, the dynamical behaviors of a discrete-time fractional-order Rosenzweig-MacArthur model with prey refuge are studied. The piecewise constant arguments scheme is applied to obtain the discrete-time model. All possible fixed points and their existence conditions are investigated as well as the local behavior of nearby solutions in various contingencies. Numerical simulations such as the time series, phase portraits, and bifurcation diagrams are portrayed. Three types of bifurcations are shown numerically namely the forward, the period-doubling, and Neimark-Sacker bifurcations. Some phase portraits are depicted to justify the occurrence of those bifurcations.

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Published: 2021-09-23

How to Cite this Article:

Hasan S. Panigoro, Emli Rahmi, Novianita Achmad, Sri Lestari Mahmud, R. Resmawan, Agusyarif Rezka Nuha, A discrete-time fractional-order Rosenzweig-Macarthur predator-prey model involving prey refuge, Commun. Math. Biol. Neurosci., 2021 (2021), Article ID 77

Copyright © 2021 Hasan S. Panigoro, Emli Rahmi, Novianita Achmad, Sri Lestari Mahmud, R. Resmawan, Agusyarif Rezka Nuha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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