Emli Rahmi, Isnani Darti, Agus Suryanto, Trisilowati
We consider a Leslie-Gower model with the Beddington-DeAngelis functional response, Allee effect, and Caputo fractional order derivative. We first establish the existence, uniqueness, non-negativity, and boundedness of solutions to confirm the biological feasibility of the model. Moreover, the Lyapunov direct method including the generalized LaSalle invariance principle is applied to investigate the global stability of the prey-free point and the co-existence point. By using the Adams-Bashfort-Moulton for the fractional order system, we perform some numerical simulations to justify the theoretical results. © 2022 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, University of Brawijaya, Indonesia; Department of Mathematics, State University of Gorontalo, Indonesia
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