Numerical Solution for Lotka-Volterra Model of Oscillating Chemical Reactions with Interactive Fuzzy Initial Conditions
Vinícius Wasques, Estevão Esmi, Laécio C. Barros, Peter Sussner
Available Online August 2019.
- 10.2991/eusflat-19.2019.75How to use a DOI?
- Fuzzy initial-value problem Sup-J extension principle Interactive fuzzy numbers Chemical reactions
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.
- © 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 -