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Mathematical Biosciences and Engineering

2015, Volume 12, Issue 2: 279-290. doi: 10.3934/mbe.2015.12.279
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A note on modelling with measures: Two-features balance equations

  • 1.
    Center for Industrial Mathematics, University of Bremen, Bibliothekstrasse 1, D-28359 Bremen
  • Received: 01 April 2014 Accepted: 29 June 2018 Published: 01 December 2014

  • MSC : Primary: 00A71, 35L65; Secondary: 92D25.

  • In this note we explain by an example what we understandby a balance situation and by a balance equation in termsof measures.
        The latter ones are an attempt to start modelling of (not only)diffusion-reaction or mass-conservation scenarios in terms of measuresrather than by derivatives and other rates.
        By means of three examples this concept is extended to two-features (=two-traits-) balance situations, which, e.g., combine features like aging andphysical motion in populations or physical motion and formation of polymers by means of a single model equation.

    Citation: Michael Böhm, Martin Höpker. A note on modelling with measures: Two-features balance equations[J]. Mathematical Biosciences and Engineering, 2015, 12(2): 279-290. doi: 10.3934/mbe.2015.12.279

    Related Papers:

  • In this note we explain by an example what we understandby a balance situation and by a balance equation in termsof measures.
        The latter ones are an attempt to start modelling of (not only)diffusion-reaction or mass-conservation scenarios in terms of measuresrather than by derivatives and other rates.
        By means of three examples this concept is extended to two-features (=two-traits-) balance situations, which, e.g., combine features like aging andphysical motion in populations or physical motion and formation of polymers by means of a single model equation.
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    © 2015 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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