BIOLOGY 3SS3 Lecture Notes - Lecture 6: Exponential Growth, 1Time Airline, Spreadsheet
26 Jan 2017
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Individuals are giving birth at per-capita rate b. Dn/dt= (b -d)n= (b - d)n = rn i. e. the rate at which a population is changing at any given time is equal to the right side of the equation. That"s what calculus is for- describing instantaneous rates of change. Individuals are independent: what i do does not depend on how many other individuals are around. The population can be censused at any time: population size changes continuously. Advantageous if reproduction is continuous: all individuals are the same all the time. Given that, for e. g. , bacteria are not usually fully capable of reproduction for some time while resources are accumulated or, in the case of dandelions, that individuals vary between yellow, non- reproductive forms & others. Definitions is the birth rate d is the death rate r b - d is the instantaneous rate of increase: these quantities are not associated with a time period, but they have units:
