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X and the City by John A. Adam

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Appendix 8

INFORMAL “DERIVATION” OF THE LOGISTICDIFFERENTIAL EQUATION

 

 

 

 

 

It has been said that there are two categories of people in the world: those that separate people into two categories and those that don’t. Nevertheless, suppose there are indeed two categories of people (described below) comprising a community: in which the population is constant. This may seem very unrealistic, except over short periods of time, for what about births, deaths, “emigration,” and “immigration” within such a community? And while this is a valid criticism, there are several “communities” that possess a constant population: cruise liners, and political bodies (House, Senate, etc.) being two such examples. We shall examine the mathematical genesis of the ...

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