Structured populations with diffusion and Feller conditions

Agnieszka Bartłomiejczyk; Henryk Leszczyński

doi:10.3934/mbe.2015002

Structured populations with diffusion and Feller conditions

Abstract

We prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile.

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Authors (2)

Agnieszka Bartłomiejczyk dr
Henryk Leszczyński
- Instytut Matematyki, Uniwersytet Gdański Zakład Metod Numerycznych i Równań Różniczkowych

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Mathematical Biosciences and Engineering no. 13, pages 261 - 279,
ISSN: 1547-1063
Language:: English
Publication year:: 2016
Bibliographic description:: Bartłomiejczyk A., Leszczyński H.: Structured populations with diffusion and Feller conditions// Mathematical Biosciences and Engineering. -Vol. 13, nr. 2 (2016), s.261-279
DOI:: Digital Object Identifier (open in new tab) 10.3934/mbe.2015002
Verified by:: Gdańsk University of Technology