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Restricted Logarithmic Growth with Injection
TL;DR An exploration of the Verhulst logistic growth model, from unrestricted exponential growth to restricted logarithmic growth, culminating in a novel extension that adds an artificial injection term to account for advertising, conservation breeding, and other external accelerants.
The Logistic Function, sometimes with modifications, has been used successfully to model a large range of natural systems. Some examples include bacterial growth, tumor growth, animal populations, neural network transfer functions, chemical reaction rates, language adoption, and diffusion of innovation, to name a few.

Read more here:
https://jeffreyfreeman.me/blog/restricted-logarithmic-growth-with-injection/

#Mathematics #Freemo