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Discrete and Continuous Logistic p-Fuzzy Models

  • Daniel Eduardo SánchezEmail author
  • Estevão Esmi
  • Laécio Carvalho de Barros
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1000)

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.

Notes

Acknowledgments

This research was partially supported by FAPESP under grants no. 2018/10946-2, and 2016/26040-7, and CNPq under grant no. 306546/2017-5.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Daniel Eduardo Sánchez
    • 1
    Email author
  • Estevão Esmi
    • 2
  • Laécio Carvalho de Barros
    • 2
  1. 1.University Austral of Chile, Patagonia CampusCoyhaiqueChile
  2. 2.Institute of Mathematics, Statistics and Scientific ComputingUniversity of CampinasCampinasBrazil

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