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All Journal Jambura Journal of Mathematics
Apon Ismail
Student of Department of Mathematics, Faculty of Mathematics and Natural Sicences, Universitas Negeri Gorontalo, Bone Bolango 96119
Mathematics

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A Fractional-Order Predator-Prey Model with Age Structure on Predator and Nonlinear Harvesting on Prey Hasan S. Panigoro; Resmawan Resmawan; Amelia Tri Rahma Sidik; Nurdia Walangadi; Apon Ismail; Cabelita Husuna
Jambura Journal of Mathematics Vol 4, No 2: July 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1401.536 KB) | DOI: 10.34312/jjom.v4i2.15220

Abstract

In this manuscript, the dynamics of a fractional-order predator-prey model with age structure on predator and nonlinear harvesting on prey are studied. The Caputo fractional-order derivative is used as the operator of the model by considering its capability to explain the present state as the impact of all of the previous conditions. Three biological equilibrium points are successfully identified including their existing properties. The local dynamical behaviors around each equilibrium point are investigated by utilizing the Matignon condition along with the linearization process. The numerical simulations are demonstrated not only to show the local stability which confirms all of the previous analytical results but also to show the existence of periodic signal as the impact of the occurrence of Hopf bifurcation.
Co-Authors Amelia Tri Rahma Sidik Cabelita Husuna Hasan S. Panigoro Nurdia Walangadi Resmawan Resmawan