A note on modelling with measures: Two-features balance equations | Zendy

Michael C. Böhm | Zendy; Martin Höpker | Zendy

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A note on modelling with measures: Two-features balance equations

Author(s) -

Michael C. Böhm,

Martin Höpker

Publication year - 2015

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2015.12.279

Subject(s) - balance (ability) , motion (physics) , balance equation , structural equation modeling , equations of motion , diffusion , material balance , detailed balance , mathematics , statistical physics , classical mechanics , physics , psychology , statistics , thermodynamics , engineering , markov model , neuroscience , markov chain , process engineering

In this note we explain by an example what we understand by a balance situation and by a balance equation in terms of measures. The latter ones are an attempt to start modelling of (not only) diffusion-reaction or mass-conservation scenarios in terms of measures rather 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 and physical motion in populations or physical motion and formation of polymers by means of a single model equation.

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