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Non-linear structured population dynamics with co-variates


  • Jean-Pierre Aubin
  • Noël Bonneuil
  • Franck Maurin


Co-variates are incorporated into a general model of non-linear structured population dynamics. The proof of the existence and uniqueness of the solutions results from those of a special set, the invariance envelope. It is also valid in presence of state constraints, and solutions need only to have a closed graph (instead of being weakly differentiable as requested in semi-group theory). Moreover, this invariance envelope provides a simple way to build the solutions, either explicitly in the linear exogenous case, or algo-rithmically in the non-linear case, both with co-variates. The case of age-structured systems and a model of demographic transition are discussed for illustration.

Suggested Citation

  • Jean-Pierre Aubin & Noël Bonneuil & Franck Maurin, 2000. "Non-linear structured population dynamics with co-variates," Mathematical Population Studies, Taylor & Francis Journals, vol. 9(1), pages 1-31.
  • Handle: RePEc:taf:mpopst:v:9:y:2000:i:1:p:1-31
    DOI: 10.1080/08898480009525493

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