Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2023; 38(4): 1163-1173

Online first article October 18, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c230034

Copyright © The Korean Mathematical Society.

Laplace transform and Hyers-Ulam stability of differential equation for logistic growth in a population model

Ponmana Selvan Arumugam, Ganapathy Gandhi, Saravanan Murugesan, Veerasivaji Ramachandran

Thandalam, Chennai - 602 105; Kavaraipettai, Thiruvallur - 601 206; Gudiyattam, Vellore - 635 803; Enathur, Kanchipuram - 631 561

Abstract

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In this paper, we prove the Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam stability of a differential equation of Logistic growth in a population by applying Laplace transforms method.

Keywords: Hyers-Ulam stability, Mittag-Leffler-Hyers-Ulam stability, logistic growth, Laplace transforms

MSC numbers: Primary 26D10, 34A08, 65Q30, 42A38, 39B82, 34A40

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