2 Mathematical Models and Numerical Methods
2.1 Population Models
In Section 1.4 we introduced the exponential differential equation with solution as a mathematical model for natural population growth that occurs as a result of constant birth and death rates. Here we present a more general population model that accommodates birth and death rates that are not necessarily constant. As before, however, our population function P(t) will be a continuous approximation to the actual population, which of course changes only by integral increments—that is, by one birth or death at a time.
Suppose that the population changes only by the occurrence of births and deaths—there is no immigration or emigration from outside the country ...
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