Structured populations with diffusion and Feller conditions

Agnieszka  Bartłomiejczyk; Henryk  Leszczyński

doi:10.3934/mbe.2015002

Article Contents

2016, Volume 13, Issue 2: 261-279. Doi: 10.3934/mbe.2015002

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Structured populations with diffusion and Feller conditions

Agnieszka Bartłomiejczyk^1, and
Henryk Leszczyński^2,

1.
Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk
2.
Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk

Received: January 31, 2015

Revised: August 31, 2015

Published: November 2015

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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.

Keywords:

Mathematics Subject Classification: Primary: 35Q92, 92D25; Secondary: 47N60, 35B35.

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