Abstract
The contribution of an individual to population growth and interaction depends, as a rule, on various characteristics related to its physiology and its spatial position. Structured population models take this observation seriously and start the modeling process at the individual level, (i-level for short). First an i-state space Ω is specified and the movement of individuals through Ω, in dependence on the state of the environment (E-state), is described. Also described are the dependence on i-state and E-state of reproduction, death, and influence on the environment. These ingredients at the i-level completely determine the deterministic formulation at the p-level(p for population): simple bookkeeping principles tell us how the p-equations should look. (Admittedly, however, the appearance of the p-equations depends somewhat on our choice of p-state space: either L 1(Ω), if we expect that the population distribution over Ω has a nice density or M(Ω), if we expect that the distribution may contain measures concentrated on subsets of Ω).KeywordsDominant EigenvaluePrey PatchStructure Population ModelPredator InvasionAsymptotic SpeedThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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