Stationary and oscillatory dynamics of Nicholson's blowflies equation with Allee effect

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dc.contributor.authorGuo, Cuiping
dc.contributor.authorGuo, Shangjiang
dc.date.accessioned2023-05-15T17:52:03Z
dc.date.available2023-05-15T17:52:03Z
dc.date.issued2022-09-28
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGuo, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16791
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBistability
dc.subjectDelay effect
dc.subjectHopf bifurcation
dc.subjectStability
dc.titleStationary and oscillatory dynamics of Nicholson's blowflies equation with Allee effect
dc.typeArticle

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