tcporco / SageBoxModels

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Andreasen, Alizon refs for strong product section #16

Open worden-lee opened 7 years ago

worden-lee commented 7 years ago

Viggo Andreasen; Samuel Alizon (@worden-lee has notes from Alizon talk at EEID meeting)

worden-lee commented 7 years ago

Some notes on Viggo Andreasen's pubs

Aggregation in model ecosystems II. Approximate aggregation

finding the best approximate aggregation of dynamical systems, by considering the dynamics for macrovariables such that a certain criterion of inconsistency between the aggregated and original systems is minimized

The prequel paper number I and T. Gard, Aggregation in Stochastic Ecosystem Models are also relevant to question of how and when to stratify

Epidemiological models with age structure, proportionate mixing, and cross-immunity has this interesting "box" model structure for two strains

viggo-box

and models it with age structure

The dynamics of cocirculating influenza strains conferring partial cross-immunity

dynamics of a finite number of strains that confer partial cross-protection among strains. The immunity structure of the host population is captured by an index-set notation where the index specifies the set of strains to which the host has been exposed. This notation allows us to derive threshold conditions for the invasion of a new strain and to show the existence of an endemic multi-strain equilibrium in a special case

The notation deals with subsets of the set of strains, like this:

viggo-subsets