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- W1782430189 abstract "This chapter describes a wide variety of exponential behavior models, including population growth, radioactive decay, charging and discharging of capacitors, inflation and interest, and armies at war. The rate of change of a variable, whether positive (as it grows) or negative (as it decays), is directly proportional to the immediate value of that variable. More often than not, the rate of change is a time rate of change that is proportional to the variable's instantaneous value. Similar exponential decays also occur spatially, that is, with respect to a spatial coordinate. Behaviors decay over some distance so as to have little or no effect at distances sufficiently far from the initiating behavior. Exponential models are ubiquitous and have many applications in physics, finance, and population and resource predictions. The primary characteristic of exponential growth or decay of a population is the dependence of the rate of growth of the population on its size at any instant. The population growth and projections improve based on an elementary exponential model in which the population growth rate is linearly or directly proportional to the current size of the population." @default.
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- W1782430189 date "2004-01-01" @default.
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- W1782430189 title "Exponential Growth and Decay" @default.
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- W1782430189 doi "https://doi.org/10.1016/b978-012226551-8/50006-5" @default.
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