Abstract
Mathematical models of physiologically structured populations (Metz and Diekmann 1986; Diekmann et al. 1998;2001) relates mechanisms at the individual level and behaviour at the level of the population. In a typical direct problem one prescribes model ingredients that describe mechanisms such at aging, growth and survival at the individual level, lifts the model to the population level and finally studies phenomena at the population level. In the inverse problem the situation is reversed. Using knowledge about behaviour at the population level one wants to deduce the underlying mechanisms at the individual level.
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1 This research of Mats Gyllenberg and Lassi Päivärinta has been supported by the Academy of Finland.
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Gyllenberg, M., Osipov, A., Päivärinta, L. (2003). On Determining Individual Behaviour from Population Data. In: Haroske, D., Runst, T., Schmeisser, HJ. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8035-0_22
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DOI: https://doi.org/10.1007/978-3-0348-8035-0_22
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