Global stability of dynamical systems and Lyapunov functions

Loading...
Thumbnail Image

Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Faculty of Engineering and Natural Sciences

Abstract

In this study, we explore the global stability of a novel epidemic model that integrates reported and unreported cases, distinguishing between symptomatic and asymptomatic individuals. Using a Lyapunov function, we demonstrate the model’s stability, highlighting the crucial role of asymptomatic cases in shaping disease dynamics and control effectiveness. Furthermore, we perform a novel hybrid parameter estimation method based on genetic algorithms, utilizing COVID19 data from the UK to better understand the distribution of reported and unreported cases in the early phases of an epidemic. In addition, we employ sensitivity analysis to understand the impact of this division on the fundamental reproduction number. Our findings underscore the importance of accounting for both symptomatic and asymptomatic cases in epidemic modeling and control strategies.

Description

Keywords

Lyapunov function, COVID19, SIS model

Citation

Aitzhanov Y / Global stability of dynamical systems and Lyapunov functions / 7M05401 - Department of Mathematics and Natural Sciences / 2024

Collections