Rate Distribution Modeling for Structured Heterogeneous Populations
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.
1991 Mathematics Subject Classification46G10 92D25 92D40
Key words and phrasesRate distributions vector measures semigroups estimation
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