Global asymptotic stability of a networked fractional SIR model

	Global asymptotic stability of a networked fractional SIR model
International Journal of Nonlinear Analysis and Applications
مقاله 2، دوره 16، شماره 4، تیر 2025، صفحه 15-26 اصل مقاله (2.16 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.31829.4722
نویسندگان
Jiaming Li؛ Yajing Li^* ؛ Ao Huang؛ Hongtao Fan؛ Jiawei Hao؛ Huiyuan Wang؛ Jiaping Cui
College of Science, Northwest A&F University, Yangling 712100, Shaanxi, P.R. China
چکیده
In this paper, we consider a networked fractional SIR model. After proving the existence and uniqueness of the solution, we obtain the basic reproduction number, the disease-free equilibrium point and the endemic equilibrium point. By constructing the Lyapunov function, we show that the endemic equilibrium is globally asymptotically stable when the basic reproduction number is greater than 1, and the disease-free equilibrium is globally asymptotically stable when the basic reproduction number is less than 1. Finally, numerical simulations are carried out to verify these theoretical results. Thus, the stability theory of Laplacian diffusion is extended to the graph Laplacian model.
کلیدواژه‌ها
Fractional SIR model؛ Network؛ Graph Laplacian operator؛ Global asymptotic stability؛ Lyapunov function
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