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Analysis of nonlinear compartmental model using a reliable method

Author

Listed:
  • Guirao, Juan Luis García
  • Alsulami, Mansoor
  • Baskonus, Haci Mehmet
  • Ilhan, Esin
  • Veeresha, P.

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.

Suggested Citation

  • Guirao, Juan Luis García & Alsulami, Mansoor & Baskonus, Haci Mehmet & Ilhan, Esin & Veeresha, P., 2023. "Analysis of nonlinear compartmental model using a reliable method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 133-151.
    • Handle: RePEc:eee:matcom:v:214:y:2023:i:c:p:133-151
    DOI: 10.1016/j.matcom.2023.07.001
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    References listed on IDEAS

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    1. Veeresha, P., 2022. "The efficient fractional order based approach to analyze chemical reaction associated with pattern formation," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    3. Omar Balatif & Abderrahim Labzai & Mostafa Rachik, 2018. "A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-14, November.
    4. Shao-Wen Yao & Esin Ilhan & P. Veeresha & Haci Mehmet Baskonus, 2021. "A Powerful Iterative Approach For Quintic Complex Ginzburg–Landau Equation Within The Frame Of Fractional Operator," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-13, August.
    5. Ndolane Sene & Guillermo Huerta Cuellar, 2021. "Study of a Fractional-Order Chaotic System Represented by the Caputo Operator," Complexity, Hindawi, vol. 2021, pages 1-20, June.
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