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Algebra Seminar: Discrete Stage Structured Models
1:10 p.m. Neill 106W
ABSTRACT: In this talk, I will describe the fundamentals of stage-structured matrix models of population dynamics, where 'stage' will be considered generically, and will not necessarily refer to age. To elucidate a sufficiently general model of such dynamics, given a choice regarding the type of stage to be modeled, we will approach the topic, and obtain a matrix model, using the so-called life cycle graph. Using this approach, it is possible to model a variety of factors influencing dynamics, and in particular, examples will be given to illustrate its use in a size-structured population, and a multiregional age-structured population. However, with generality comes complications regarding ease of analysis, and so it is the speaker's hope to discuss (or, at least briefly mention) the issues that arise if the projection matrix is imprimitive and irreducible, or reducible.