Analysis of nonlinear compartmental model using a reliable method

Juan Luis García Guirao, Mansoor Alsulami, Haci Mehmet Baskonus, Esin Ilhan and P. Veeresha

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 214, issue C, 133-151

Abstract: The goal of this work is to investigate nonlinear models and their complexity using techniques that are universal and have connections to historical and material aspects. Using the premise of a constant population that is uniformly mixed, a nonlinear compartmental model that depicts the movement between voter classes is taken into consideration. In the current work, we investigate the dynamical framework that supports the interactions between the three parties. It is discussed how rate change affects various metrics. The conditions for boundedness, stability, existence, and other dynamics are obtained. We derive the effects of generalizing the model in any order. The current study supports investigations into complex real-world issues and forecasts of necessary plans.

Keywords: Caputo fractional derivative; Numerical method; Chaotic behaviors; Political parties (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:214:y:2023:i:c:p:133-151

DOI: 10.1016/j.matcom.2023.07.001

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