Stationary and oscillatory dynamics of Nicholson's blowflies equation with Allee effect
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Date
2022-09-28
Authors
Guo, Cuiping
Guo, Shangjiang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we analyze the bistable dynamics of a Nicholson's blowflies equation with Allee effect. Using Lyapunov-LaSalle invariance principle, we study the stability and basins of attraction of multiple equilibria. Also we study the existence, stability, and multiplicity of nontrivial steady-state solution and periodic solutions. These solutions generate long transient oscillatory patterns and asymptotic stable oscillatory patterns.
Description
Keywords
Bistability, Delay effect, Hopf bifurcation, Stability
Citation
Guo, C., & Guo, S. (2022). Stationary and oscillatory dynamics of Nicholson's blowflies equation with Allee effect. <i>Electronic Journal of Differential Equations, 2022</i>(67), pp. 1-19.
Rights
Attribution 4.0 International