1 research outputs found
Scale-invariance underlying the logistic equation and its social applications
On the basis of dynamical principles we derive the Logistic Equation (LE),
widely employed (among multiple applications) in the simulation of population
growth, and demonstrate that scale-invariance and a mean-value constraint are
sufficient and necessary conditions for obtaining it. We also generalize the LE
to multi-component systems and show that the above dynamical mechanisms
underlie large number of scale-free processes. Examples are presented regarding
city-populations, diffusion in complex networks, and popularity of
technological products, all of them obeying the multi-component logistic
equation in an either stochastic or deterministic way. So as to assess the
predictability-power of our present formalism, we advance a prediction,
regarding the next 60 months, for the number of users of the three main web
browsers (Explorer, Firefox and Chrome) popularly referred as "Browser Wars"