Mathematical Biosciences and Engineering, 2015, 12(2): 279-290. doi: 10.3934/mbe.2015.12.279

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

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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

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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