Global dynamics and optimal life history of a structured population model

Àngel Calsina, Joan Saldaña

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)

Abstract

The first part of this paper is devoted to a complete description of the dynamics of a continuously structured population model coupled with a dynamical resource. In the model, it is assumed that the energy each individual obtains from the resource is channeled between growth and reproduction in a proportion that depends on the individual's size. In the second part, an optimal allocation of this energy is obtained that turns out to be a convergence-stable ESS and is described by what is called a `bang-bang' strategy.
Original languageEnglish
Pages (from-to)1667-1685
JournalSIAM Journal on Applied Mathematics
Volume59
DOIs
Publication statusPublished - 1 Jan 1999

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