分数阶Bazykin-Berezovskaya模型的动力学行为及其离散化

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-01-03 DOI:10.22034/CMDE.2020.30802.1460

M. H. Akrami

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引用次数: 2

摘要

‎本文研究了分数阶Bazykin-Berezovskaya模型的动力学行为及其离散化‎. ‎分数导数已经在Caputo意义上进行了描述‎. ‎我们证明了离散化系统‎, ‎表现出比相应的分数阶模型更复杂的动力学行为‎. ‎特别是‎, ‎在离散化模型中，会发生内马克-萨克尔和翻转分岔以及混沌现象‎. ‎在最后一部分‎, ‎一些数值模拟验证了分析结果‎.

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Dynamical behaviours of Bazykin-Berezovskaya model with fractional-order and its discretization

‎This paper is devoted to study dynamical behaviours of the fractional-order Bazykin-Berezovskaya model and its discretization‎. ‎The fractional derivative has been described in the Caputo sense‎. ‎We show that the discretized system‎, ‎exhibits more complicated dynamical behaviours than its corresponding fractional-order model‎. ‎Specially‎, ‎in the discretized model Neimark-Sacker and flip bifurcations and also chaos phenomena will happen‎. ‎In the final part‎, ‎some numerical simulation verify the analytical results‎.

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来源期刊

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks