Stability and bifurcation of a delayed generalized fractional-order prey-predator model with interspecific competition

被引：157
作者：
Wang, Zhen [1 ]
Xie, Yingkang [1 ]
Lu, Junwei [2 ]
Li, Yuxia [3 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing 210023, Jiangsu, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order system; Time delay; Prey-predator model; Hopf bifurcation; Stability; DIFFERENTIAL-EQUATIONS; HOPF-BIFURCATION; GLOBAL DYNAMICS; SIR MODEL; SYSTEM;
D O I：
10.1016/j.amc.2018.11.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper considers a delayed generalized fractional-order prey-predator model with interspecific competition. The existence of the nontrivial positive equilibrium is discussed, and some sufficient conditions for global asymptotic stability of the equilibrium are developed. Meanwhile, the existence of Hopf bifurcation is discussed by choosing time delay as the bifurcation parameter. Finally, some numerical simulations are carried out to support the analytical results. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：360 / 369
页数：10
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