BISTABLE AND OSCILLATORY DYNAMICS OF NICHOLSON'S BLOWFLIES EQUATION WITH ALLEE EFFECT

被引：3

作者：

Chang, Xiaoyuan ^{[1
]}

Shi, Junping ^{[2
]}

机构：

[1] Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Heilongjiang, Peoples R China

[2] William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 08期

基金：

美国国家科学基金会;

关键词：

Delayed differential equation; modified Nicholson's blowflies equation; Allee effect; stability; Hopf bifurcation; DELAY-DIFFERENTIAL EQUATIONS; GLOBAL DYNAMICS; MODEL; POPULATION;

D O I：

10.3934/dcdsb.2021242

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bistable dynamics of a modified Nicholson's blowflies delay differential equation with Allee effect is analyzed. The stability and basins of attraction of multiple equilibria are studied by using Lyapunov-LaSalle invariance principle. The existence of multiple periodic solutions are shown using local and global Hopf bifurcations near positive equilibria, and these solutions generate long transient oscillatory patterns and asymptotic stable oscillatory patterns.

引用

页码：4551 / 4572

页数：22

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