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Existence of positive equilibria for quasilinear models of structured population

Analysis of PDEs 2015-09-09 v1

Abstract

In this paper I prove the existence of a positive stationary solution for a generic quasilinear model of structured population. The existence is proved using Schauder's fixed point theorem. The theorem is applied to a hierarchically size-structured population model.

Keywords

Cite

@article{arxiv.1509.02155,
  title  = {Existence of positive equilibria for quasilinear models of structured population},
  author = {Stefano Bertoni},
  journal= {arXiv preprint arXiv:1509.02155},
  year   = {2015}
}

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10 pages