HOPF BIFURCATION ANALYSIS OF A FRACTIONAL-ORDER HOLLING-TANNER PREDATOR-PREY MODEL WITH TIME DELAY

被引：0

作者：

Celik, C. ^{[1
]}

DegerlI, K. ^{[2
]}

机构：

[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, Istanbul, Turkey

[2] Bahcesehir Univ, Fac Engn & Nat Sci, Dept Math, Istanbul, Turkey

来源：

ANZIAM JOURNAL | 2022年 / 64卷 / 01期

关键词：

fractional-order; time-delay; Hopf bifurcation; predator-prey system; STABILITY; SYSTEM; DISCRETE;

D O I：

10.1017/S1446181122000025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a fractional-order delayed predator-prey model with Honing -Tanner-type functional response. Mainly, by choosing the delay time tau as the bifurcation parameter, we show that Hopf bifurcation can occur as the delay time tau passes some critical values. The local stability of a positive equilibrium and the existence of the Hopf bifurcations are established, and numerical simulations for justifying the theoretical analysis are also presented.

引用

页码：23 / 39

页数：17

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