Dynamic complexity of a fractional-order predator-prey system with double delays

被引：22
作者：
Li, Huan [1 ]
Huang, Chengdai [2 ]
Li, Tongxing [3 ]
机构：
[1] Xinyang Normal Univ, Coll Life Sci, Xinyang 464000, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
[3] Taishan Univ, Sch Math & Stat, Tai An 271000, Shandong, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 526卷
关键词：
Different delays; Stability; Fractional order; Hopf bifurcation; Predator-prey models; HOPF-BIFURCATION ANALYSIS; QUASI-SYNCHRONIZATION; NEURAL-NETWORKS; TIME-DELAY; STABILITY; MODEL; DISCRETE; CHAOS;
D O I：
10.1016/j.physa.2019.04.088
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The present paper gropes for the stability and bifurcation of a delayed fractional-order predator-prey model with two different delays. The bifurcation points can be accurately figured out for such model by choosing different delay as a bifurcation parameter. Then, the impact of fractional order and other delay on the bifurcation point is ulteriorly displayed by elaborative computation. It is demonstrated that the stability performance of the proposed model can be sabotaged or promoted by modulating fractional order or another delay. Finally, explanatory examples are addressed to validate the exactitude of the academic results. (C) 2019 Elsevier B.V. All rights reserved.
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页数：16
相关论文
共 41 条
[1]   Diffusion driven instability and Hopf bifurcation in spatial predator-prey model on a circular domain [J].
Abid, Walid ;
Yafia, Radouane ;
Aziz-Alaoui, M. A. ;
Bouhafa, Habib ;
Abichou, Azgal .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 :292-313
[2]  
[Anonymous], 1925, Elements of mathematical biology
[3]   Delayed stability switches in singularly perturbed predator-prey models [J].
Banasiak, J. ;
Tchamga, M. S. Seuneu .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 35 :312-335
[4]   A bifurcation path to chaos in a time-delay fisheries predator-prey model with prey consumption by immature and mature predators [J].
Boonrangsiman, S. ;
Bunwong, K. ;
Moore, Elvin J. .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2016, 124 :16-29
[5]   The stability and Hopf bifurcation for a predator-prey system with time delay [J].
Celik, Canan .
CHAOS SOLITONS & FRACTALS, 2008, 37 (01) :87-99
[6]   Hopf bifurcation of a ratio-dependent predator-prey system with time delay [J].
Celik, Canan .
CHAOS SOLITONS & FRACTALS, 2009, 42 (03) :1474-1484
[7]   Stability of fractional-order prey-predator system with time-delay and Monod-Haldane functional response [J].
Chinnathambi, Rajivganthi ;
Rihan, Fathalla A. .
NONLINEAR DYNAMICS, 2018, 92 (04) :1637-1648
[8]  
Das Malay, 2019, Environment and Ecology (Kalyani), V37, P11
[9]   Hopf bifurcation analysis for a ratio-dependent predator-prey system with two delays and stage structure for the predator [J].
Deng, Lianwang ;
Wang, Xuedi ;
Peng, Miao .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 231 :214-230
[10]  
Deng WH, 2007, NONLINEAR DYNAM, V48, P409, DOI [10.1007/s11071-006-9094-0, 10.1007/s11071 -006-9094-0]
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