2007
DOI: 10.14441/eier.3.239
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“S-shaped” curves in economic growth. A theoretical contribution and an application

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Cited by 23 publications
(15 citation statements)
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“…This leads to a relatively short period of rapid expansion and to a relatively long period of gradual growth up to the maximal level. The logistic curve is more symmetric, the growth rate is initially not as high as in the Gompertz curve and it declines more gradually [27].…”
Section: Diffusion Modelsmentioning
confidence: 93%
“…This leads to a relatively short period of rapid expansion and to a relatively long period of gradual growth up to the maximal level. The logistic curve is more symmetric, the growth rate is initially not as high as in the Gompertz curve and it declines more gradually [27].…”
Section: Diffusion Modelsmentioning
confidence: 93%
“…This condition is compatible with a wide range of evolutions, including exponential and S‐shaped evolutions (see Jarne et al ., ). For our simulations we shall assume, following Metcalfe (), a Gompertz dynamics for the worldwide market size: δ ˙ = a ( δ ( t ) f ) m [ ln c f δ ( t ) f ] d ; c > f 0 ; a , m and d > 0 ; t [ 0 , T ] …”
mentioning
confidence: 97%
“…This leads to a relatively short period of rapid expansion and to a relatively long period of gradual growth up to the maximal level. The logistic curve is more symmetric -the growth rate (measured asẏ y ) is initially not as high as in the Gompertz curve and it declines more gradually (see [15]). …”
mentioning
confidence: 98%
“…5 The paper [15] provides a pedagogical presentation of Gompertz and logistic equations generalizations and discusses limitations of standard equations in economic modeling.…”
mentioning
confidence: 99%