文献类型： 会议论文

第一作者： Emli Rahmi

作者： Emli Rahmi ¹ ; Hasan S. Panigoro ¹ ; Sayooj Aby Jose ² ;

作者机构： 1.Biomathematics Research Group, Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango 96554, Indonesia

2.School of Mathematics & Statistics, Mahatma Gandhi University, Kottayam, Kerala, India

会议名称： International Symposium on Biomathematics

主办单位：

页码： 1-7

摘要： This paper reveals the stability analysis of the equilibrium points of a fractional-order predator-prey model involving Beddington-DeAngelis functional response and stage-structured on predator using an extension of the Lyapunov direct method for the Atangana-Baleanu derivative in the Caputo sense (ABC). Here, we use the ABC fractional derivative with the Mittag-Leffler kernel since it has the non-singular type of kernel which is better know to describe real-world problems mathematically. The Mittag-Leffler function helps to preserve and store model information over time. The proposed study considers linear, quadratic, and Volterra-type to construct the Lyapunov functions. Furthermore, to illustrate the validity of the results, some numerical simulations are carried out. The existence of Hopf bifurcation is also shown numerically which is driven by the order of the fractional derivative as the index of the memory.

分类号： q-332