.BusinessSimulation.SourcesOrSinks.ExponentialGrowth

Information

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ExponentialGrowth will fill the connected stock from a source with infinite capacity at a rate that is determined at any time as the product of the current amount in the connected stock and the fractional rate given. The rate can either be given as a constant parameter fractionalRate or as a real input u, making it variable in time.

Notes

• By default it is assumed, that the rate given is a continously compounding rate (isCCR = true). If this is not case, the rate will be converted using the →ForceOfInterest converter.


• The effective rate of growth (e.g the product of rate and amount in stock) must never be negative, as draining the connected stock is prohibited. Should the rate of inflow to the stock become negative, it will be set to zero.


• Exponential growth processes have a constant doubling time which can be found by dividing log(2) ≈ 0.69 by the continuously compounding fractional rate (or by log(1+rate) if the rate is not a continuously compounding rate).

See also

ExponentialDecline, Decay, ExponentialChange

Revisions

• Value for parameter set to unspecified in v2.1.0.