"Stage Structure and Refuge Effects in the Dynamical Analysis of a Frac" by Mahmoud Moustafa, Mohd Hafiz Mohd et al.

Progress in Fractional Differentiation & Applications

Article Title

Stage Structure and Refuge Effects in the Dynamical Analysis of a Fractional Order Rosenzweig-MacArthur Prey-Predator Model

Authors

Mahmoud Moustafa, School of Mathematical Sciences, Universiti Sains Malaysia 11800 USM, Pulau Pinang, MalaysiaFollow
Mohd Hafiz Mohd
Ahmad Izani Ismail
Farah Aini Abdullah

Author Country (or Countries)

Malaysia

Abstract

In this paper, a fractional order prey-predator model with stage structure incorporating a prey refuge is established and analyzed. The predation is modelled using a Hollings type II functional response. The existence, uniqueness, non-negativity and boundedness of the solutions of the model is established. In addition to investigating the stability of the equilibrium points, conditions for the stability and Hopf bifurcation are obtained. The impact of fractional order, prey refuge and conversion coefficient on the stability of the fractional-order system are theoretically and numerically investigated

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/050106

Recommended Citation

Moustafa, Mahmoud; Hafiz Mohd, Mohd; Izani Ismail, Ahmad; and Aini Abdullah, Farah (2019) "Stage Structure and Refuge Effects in the Dynamical Analysis of a Fractional Order Rosenzweig-MacArthur Prey-Predator Model," Progress in Fractional Differentiation & Applications: Vol. 5: Iss. 1, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/050106
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol5/iss1/6

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