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Rate Distribution Modeling for Structured Heterogeneous Populations

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Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 118))

Abstract

We propose a modeling strategy for structured populations, in which individuals are not necessarily identical. The heterogeneity is obtained by modeling the population as comprising homogeneous subpopulations. By using a vector measure, we combine the subpopulations with an abstract integral to obtain the density of the population. We show that this approach leads to a semigroup formulation of the dynamics in a space of vector measures, and we develop some estimation methods for determining the initial structure from observed data.

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References

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© 1994 Springer Basel AG

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Fitzpatrick, B.G. (1994). Rate Distribution Modeling for Structured Heterogeneous Populations. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_8

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  • DOI: https://doi.org/10.1007/978-3-0348-8530-0_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9666-5

  • Online ISBN: 978-3-0348-8530-0

  • eBook Packages: Springer Book Archive

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