EXPLORING BIFURCATION IN A FRACTIONAL-ORDER PREDATOR-PREY SYSTEM WITH MIXED DELAYS

被引：67

作者：

Xu, Changjin ^{[1
]}

Mu, Dan ^{[2
]}

Pan, Yuanlu ^{[3
]}

Aouiti, Chaouki ^{[4
]}

Yao, Lingyun ^{[3
]}

机构：

[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China

[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

[3] Guizhou Univ Finance & Econ, Library, Guiyang 550025, Peoples R China

[4] Univ Carthage, Fac Sci Bizerta, UR13ES47 Res Units Math & Applicat, Bizerte 7021, Tunisia

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fractional-order predator-prey model; stability; Hopf bifurcation; discrete delay; distributed delay; STABILITY; MODEL;

D O I：

10.11948/20210313

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work chiefly develops and discusses a fractional-order predator -prey model with distributed delay and discrete delay. Applying skilly an ap-propriate variable substitution, a novel equivalent form of the fractional-order predator-prey model with distributed delay and discrete delay is derived. By virtue of the stability theorem and bifurcation principle of fractional-order dynamical system, we establish a delay-independent stability and bifurcation criterion ensuring the stability and the onset of Hopf bifurcation for the in-volved predator-prey system. The role of the time delay in stabilizing system and controlling Hopf bifurcation of the considered fractional-order predator -prey model is displayed. Software simulation results are presented to support the key theoretical fruits.

引用

页码：1119 / 1136

页数：18

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