Discrete and Continuous Logistic p-Fuzzy Models

Abstract

This manuscript investigates the capacity of the so-called p-fuzzy systems to model both discrete and continuous dynamic systems. Recall that one can apply a p- fuzzy system in order to combine fuzzy rule-based systems (FRBSs) and classical numerical methods to simulate the dynamics of an evolutionary system. Here, we focus on the well-known discrete and continuous Logistic models that can be used to represent several problems of Biomathematics such as dynamic population. We conduct a series of simulations using both continuous and discrete models for several growth rates. We obtain qualitative and quantitative results similar to the analytical solutions, including bifurcations in the discrete case.