Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model

@article{Baer2006MultiparametricBA,
  title={Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model},
  author={Steven M. Baer and Bob W. Kooi and Yuri A. Kuznetsov and Horst R. Thieme},
  journal={SIAM J. Appl. Math.},
  year={2006},
  volume={66},
  pages={1339-1365}
}
In this paper we investigate long-term dynamics of the most basic model for stage-structured populations, in which the per capita transition from the juvenile into the adult class is density dependent. The model is represented by an autonomous system of two nonlinear differential equations with four parameters for a single population. We find that the interaction of intra-adult competition and intra-juvenile competition gives rise to multiple attractors, one of which can be oscillatory. A… 
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