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Mathematical Biosciences and Engineering

2016, Volume 13, Issue 2: 261-279. doi: 10.3934/mbe.2015002
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Structured populations with diffusion and Feller conditions

  • 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: 01 February 2015 Accepted: 29 June 2018 Published: 25 November 2015

  • MSC : Primary: 35Q92, 92D25; Secondary: 47N60, 35B35.

  • 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.

    Citation: Agnieszka Bartłomiejczyk, Henryk Leszczyński. Structured populations with diffusion and Feller conditions[J]. Mathematical Biosciences and Engineering, 2016, 13(2): 261-279. doi: 10.3934/mbe.2015002

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  • 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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  • This article has been cited by:

    1. Agnieszka Bartłomiejczyk, Henryk Leszczński, Agnieszka Marciniak, Rothe’s method for physiologically structured models with diffusion, 2018, 68, 0139-9918, 211, 10.1515/ms-2017-0094
    2. Agnieszka Bartłomiejczyk, Monika Wrzosek, 2020, Chapter 8, 978-3-030-46078-5, 137, 10.1007/978-3-030-46079-2_8
    3. Agnieszka Bartłomiejczyk, Henryk Leszczyński, Milena Matusik, Straightened characteristics of McKendrick-von Foerster equation, 2022, 340, 00220396, 592, 10.1016/j.jde.2022.09.018
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  • © 2016 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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