Conditional Ulam stability and its application to the logistic model
Masakazu Onitsuka
Abstract
This study deals with conditional Ulam stability for the logistic equation dxdt=x(a+bx) for t≥0, where a≠0≠b. The core of this study is establishing conditional Ulam stability for the equation dxdt=x(x−1) for t≥0. The main theorem can be obtained by combining a result obtained by Popa et al. (2018) with a result of this study. Finally, the obtained result is applied to the logistic model dPdt=r1−PKP.
Topics & Concepts
MathematicsStability (learning theory)Logistic functionLogistic regressionApplied mathematicsStability theoremStatisticsComputer scienceMachine learningCauchy distributionFunctional Equations Stability ResultsGrouting, Rheology, and Soil Mechanics