School of Science
China University of Geosciences
Beijing 100083, China
email: gcp@cugb.edu.cn
School of Mathematics and Physics
China University of Geosciences
Wuhan, Hubei 430074, China
email: guosj@cug.edu.cn
Cuiping Guo, Shangjiang Guo
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.
DOI: https://doi.org/10.58997/ejde.2022.67
Show me the PDF file (421 KB), TEX file for this article.
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Cuiping Guo School of Science China University of Geosciences Beijing 100083, China email: gcp@cugb.edu.cn |
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Shangjiang Guo School of Mathematics and Physics China University of Geosciences Wuhan, Hubei 430074, China email: guosj@cug.edu.cn |
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