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

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Author(s):
Wasques, Vinicius F. ; Esmi, Estevao ; Barros, Laecio C. ; Sussner, P. ; Novak, V ; Marik, V ; Stepnicka, M ; Navara, M ; Hurtik, P
Total Authors: 9
Document type: Journal article
Source: PROCEEDINGS OF THE 11TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT 2019); v. 1, p. 6-pg., 2019-01-01.
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. (AU)

FAPESP's process: 18/13657-1 - Some lattice computing approaches towards computational intelligence, image processing and analysis
Grantee:Peter Sussner
Support Opportunities: Regular Research Grants
FAPESP's process: 16/26040-7 - Differential and integral calculus based on arithmetic of interactive fuzzy numbers
Grantee:Estevão Esmi Laureano
Support Opportunities: Regular Research Grants