Department of Applied Mathematics, Okayama University of Science, Okayama 700-0005, Japan.
Math Biosci Eng. 2022 Jan 13;19(3):2819-2834. doi: 10.3934/mbe.2022129.
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.
本文旨在将 Popa、Raşa 和 Viorel 于 2018 年提出的条件 Ulam 稳定性应用于 von Bertalanffy 生长模型$ \frac{dw}{dt} = aw^{\frac{2}{3}}-bw $中，其中$ w $表示质量，$ a > 0 $和$ b > 0 $分别为合成和分解的系数。本研究发现了一个 Ulam 常数，并表明该常数具有生物学意义。为了解释结果，进行了数值模拟。
