Analysis of nonlinear compartmental model using a reliable method

被引:3
|
作者
Guirao, Juan Luis Garcia [1 ]
Alsulami, Mansoor [2 ]
Baskonus, Haci Mehmet [3 ]
Ilhan, Esin [4 ]
Veeresha, P. [5 ]
机构
[1] Univ Politecn Cartagena, Hosp Marina, Dept Matemat Aplicada & Estadist, Murcia 30203, Spain
[2] King Abdulaziz Univ, Dept Math, Math Modeling & Appl Computat Res Grp MMAC, POB 80203, Jeddah 21589, Saudi Arabia
[3] Harran Univ, Fac Educ, Dept Math & Sci Educ, Sanliurfa, Turkiye
[4] Kirsehir Ahi Evran Univ, Fac Engn & Architecture, TR-40500 Kirsehir, Turkiye
[5] CHRIST Deemed Univ, Ctr Math Needs, Dept Math, Bengaluru 560029, India
关键词
Caputo fractional derivative; Numerical method; Chaotic behaviors; Political parties; MATHEMATICAL-MODEL; STABILITY;
D O I
10.1016/j.matcom.2023.07.001
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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.& COPY; 2023 The Author(s). Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation (IMACS). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
引用
收藏
页码:133 / 151
页数:19
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