Open AccessConditional Ulam stability and its application to von Bertalanffy growth model
Author(s) -
Masakazu Onitsuka,
AUTHOR_ID
Publication year - 2022
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022129
Subject(s) - constant (computer programming) , mathematics , stability (learning theory) , anabolism , growth model , thermodynamics , combinatorics , statistical physics , physics , mathematical economics , chemistry , computer science , biochemistry , machine learning , programming language
The purpose of this paper is to apply conditional Ulam stability, developed by Popa, Rașa, and Viorel in 2018, to the von Bertalanffy growth model $ \frac{dw}{dt} = aw^{\frac{2}{3}}-bw $, where $ w $ denotes mass and $ a > 0 $ and $ b > 0 $ are the coefficients of anabolism and catabolism, respectively. This study finds an Ulam constant and suggests that the constant is biologically meaningful. To explain the results, numerical simulations are performed.