The logistic models and sigmoid functions: A variety of models and solution perspectives

A systematic review on logistic dynamics models and related sigmoidal functions has been developed, bringing together local and non-local interpretations. Special efforts were applied to show how non-locality can be implemented in logistic models, applying the Volterra approach and the causality concepts. An analysis of solutions of fractionalized logistic models is provided. Special attention is paid to logistic maps, both standard and fractional.