Non-linear structured population dynamics with co-variates

Jean-Pierre Aubin, Noël Bonneuil and Franck Maurin

Mathematical Population Studies, 2000, vol. 9, issue 1, 1-31

Abstract: 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.

Keywords: Lotka-McKendrick; Viability theory Communicated by S. Tuljapurkar (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1080/08898480009525493

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