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• W2089081762 abstract "In this paper, we consider nonlinear Leslie models for the dynamics of semelparous age-structured populations. We establish stability and instability criteria for positive equilibria that bifurcate from the extinction equilibrium at R 0=1. When the bifurcation is to the right (forward or super-critical), the criteria consist of inequalities involving the (low-density) between-class and within-class competition intensities. Roughly speaking, stability (respectively, instability) occurs if between-class competition is weaker (respectively, stronger) than within-class competition. When the bifurcation is to the left (backward or sub-critical), the bifurcating equilibria are unstable. We also give criteria that determine whether the boundary of the positive cone is an attractor or a repeller. These general criteria contribute to the study of dynamic dichotomies, known to occur in lower dimensional semelparous Leslie models, between equilibration and age-cohort-synchronized oscillations." @default.
• W2089081762 created "2016-06-24" @default.
• W2089081762 creator A5028959064 @default.
• W2089081762 creator A5056000396 @default.
• W2089081762 date "2012-09-01" @default.
• W2089081762 modified "2023-09-30" @default.
• W2089081762 title "Stable bifurcations in semelparous Leslie models" @default.
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• W2089081762 doi "https://doi.org/10.1080/17513758.2012.716085" @default.
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