Thursday, 30 January 2025

Revealing Dynamics: A Graphical Approach to Sensitivity Analysis in Complex Systems, Demonstrated with Compartmental Models | Chapter 9 | Research Updates in Mathematics and Computer Science Vol. 9

Understanding the dynamics of model behavior in response to changes in input parameters is pivotal, especially within complex models featuring an array of input factors. Sensitivity Analysis (SA) serves as a fundamental methodology for elucidating and quantifying the fluctuations in model behavior corresponding to variations in model input factors. In situations where models incorporate a wide range of input factors, identifying the most influential variables is of utmost importance. Although the employment of graphical tools to encapsulate SA findings is gaining traction, it remains a relatively new and evolving approach. The advancement of graphical representations significantly enhances the understanding of SA outcomes. Within this work, an exploration into the efficacy of two modern graphical techniques, specically star plots and dot charts, as tools for SA is undertaken. These visual aids provide a clear representation of key input factors, thereby accelerating the comprehension process. To showcase their utility in SA, these techniques are applied to two distinct compartmental models elucidating the dynamics of the global carbon cycle.

 

Author (s) Details

 

Suzan Gazioglu
Department of Mathematical Sciences, Montana Technological University, 1300 W. Park Street, Butte, MT 59701 USA.

 

Please see the book here:-  https://doi.org/10.9734/bpi/rumcs/v9/65

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