Numerical Solution for Lotka-Volterra Model of Oscillating Chemical Reactions with Interactive Fuzzy Initial Conditions

DOI

10.2991/eusflat-19.2019.75How to use a DOI?

Keywords

Fuzzy initial-value problem Sup-J extension principle Interactive fuzzy numbers Chemical reactions

Abstract

In this paper we study Lotka-Volterra model of oscillating chemical reactions via fuzzy differential equations, where the initial conditions are given by interactive fuzzy numbers. The concept of interactivity is associated with the notion of joint possibility distribution. The fuzzy solution is given by a numerical method which considers fuzzy arithmetic with interactivity. We present some examples to illustrate that different types of interactivity produce different solutions.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Vinícius Wasques
AU  - Estevão Esmi
AU  - Laécio C. Barros
AU  - Peter Sussner
PY  - 2019/08
DA  - 2019/08
TI  - Numerical Solution for Lotka-Volterra Model of Oscillating Chemical Reactions with Interactive Fuzzy Initial Conditions
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 544
EP  - 549
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.75
DO  - 10.2991/eusflat-19.2019.75
ID  - Wasques2019/08
ER  -