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• W1963733810 startingPage "37" @default.
• W1963733810 abstract "The dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities p are analyzed. In consideration of two-age classes, proof is presented for a wide range of p functions that, outside the strongly resonant cases, the transfer from stability to instability goes through a supercritical Hopf bifurcation and, moreover, that the nonlinear development has a strong resemblance of three or four cycles, either exact or approximate. In three-age class models, the tendency toward four-periodical dynamics is shown to be even more pronounced, a qualitative finding that gradually disappears as we turn to the higher-dimensional cases. We also prove that for models of any dimension n > 1 theme are regions in parameter space where the equilibrium is unstable at its creation and we demonstrate that the dynamics in this age-class extinguishing case is 2k.n cyclic." @default.
• W1963733810 created "2016-06-24" @default.
• W1963733810 creator A5090444401 @default.
• W1963733810 date "1997-11-01" @default.
• W1963733810 modified "2023-09-30" @default.
• W1963733810 title "Dynamic consequences of reproductive delay in Leslie matrix models with nonlinear survival probabilities" @default.
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• W1963733810 doi "https://doi.org/10.1016/s0025-5564(97)00074-6" @default.
• W1963733810 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9357293" @default.
• W1963733810 hasPublicationYear "1997" @default.
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