Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 67, pp. 1-19.

Title: Stationary and oscillatory dynamics of Nicholson's blowflies equation with Allee effect
       
Authors: Cuiping Guo (China Univ. of Geosciences, Beijing, China)
         Shangjiang Guo (China Univ. of Geosciences, Beijing, China)

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. 

Submitted April 6, 2022. Published September 28, 2022.
Math Subject Classifications: 34K18,  35B32, 35B35, 35K57, 35Q92, 92D40.
Key Words: Bistability; delay effect; Hopf bifurcation; stability.