Journal
MATHEMATICAL BIOSCIENCES AND ENGINEERING
Volume 19, Issue 3, Pages 2819-2834Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2022129
Keywords
perturbation; von Bertalanffy model; growth model; nonlinear differential equation; conditional Ulam stability; Ulam constant
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Funding
- Japan Society for the Promotion of Science (JSPS) KAKENHI [JP20K03668]
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The purpose of this study is to apply conditional Ulam stability theory to the von Bertalanffy growth model and investigate the biological significance of the Ulam constant found in the model using numerical simulations.
The purpose of this paper is to apply conditional Ulam stability, developed by Popa, Ra,sa, and Viorel in 2018, to the von Bertalanffy growth model awt = aw23 - 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.
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