| Abstract: |
| In recent years, many mathematical biologist have been arguing for the necessity of structured population models set in the space of finite Radon measures. One of the many benefits of the measure setting is the unified study of continuous and discrete structures. This is natural in a measure setting as absolutely continuous measures provide continuous structure and Dirac measures can be used to represent a cohort of individuals. In this talk, we formulate a size structured coagulation-fragmentation model in the space of measures. Such models are useful in the study the population dynamics of oceanic phytoplankton which have been observed to go through coagulation and fragmentation processes. We will show well-posedness of the model in the space of measures as well as provide a finite-difference based numerical scheme that can be used to study long term dynamics of such populations. |
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