Abstract
Various models have been used to study changes over time in the numbers of individuals in a natural population, or in the relative frequencies of different types in a population with more than one type of individual. We shall consider in this paper populations with a geographic structure, there being continual movement of individuals within the habitat where the population is situated. We suppose that the population is continuously distributed over a habitat R, contained in r dimensional space (r = 1,2, or 3). This is a distributed parameter model in engineering terminology. An alternative, which we do not consider, is to lump the population into discrete colonies (or niches) with certain rates of exchange of individuals among the colonies.
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