Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

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

Authors
Vinícius Wasques, Estevão Esmi, Laécio C. Barros, Peter Sussner
Corresponding Author
Vinícius Wasques
Available Online August 2019.
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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Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
978-94-6252-770-6
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.75How to use a DOI?
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/).

Cite this article

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  -