LOGISTIC EQUATION 2)5)
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The logistic equation was introduced in 1838 by the Belgian demographer L. VERHULST. It is generally written in two different forms:
(1) Xn+1 = aXn (1 – Xn) or
(2) Xn + 1 = aXn – aXn
The aXn member expresses the progressive braking effect on growth due to some inherent constraint, activated by the systems or process growth itself. Generally speaking, this constraint is the rarefaction of the basic resource that feeds the system or process, due to its growing consumption.
As observed by C. MARCHETTI, quoted by J. CASTI, this logistic growth is characteristic of the evolution of any type of populations, even in "psychological, social, technological and political phenomena" as for example MOZART's musical works, construction of Gothic cathedrals in Europe and the volume of world airline traffic" (1994, p.37).
The braking factor can be nutrients, available space, overextension of communication lines or some limit of the brain's network combinatorics capacity.
Categories
- 1) General information
- 2) Methodology or model
- 3) Epistemology, ontology and semantics
- 4) Human sciences
- 5) Discipline oriented
Publisher
Bertalanffy Center for the Study of Systems Science(2020).
To cite this page, please use the following information:
Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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