Global Stability in a Graph p-Laplacian SIR Epidemic ModelS  

作　　者：Ling Zhou Yu Zhang Zuhan Liu Ling Zhou;Yu Zhang;Zuhan Liu(School of Mathematical Science, Yangzhou University, Yangzhou, China)

机构地区：[1]School of Mathematical Science, Yangzhou University, Yangzhou, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第12期3962-3969,共8页应用数学与应用物理（英文）

摘　　要：A p-Laplacian ( p > 2 ) reaction-diffusion system on weighted graphs is introduced to a networked SIR epidemic model. After overcoming difficulties caused by the nonlinear p-Laplacian, we show that the endemic equilibrium is globally asymptotically stable if the basic reproduction number r₀ is greater than 1, while the disease-free equilibrium is globally asymptotically stable if r₀ is lower than 1. We extend the stability results of SIR models with graph Laplacian ( p = 2 ) to general graph p-Laplacian.A p-Laplacian ( p > 2 ) reaction-diffusion system on weighted graphs is introduced to a networked SIR epidemic model. After overcoming difficulties caused by the nonlinear p-Laplacian, we show that the endemic equilibrium is globally asymptotically stable if the basic reproduction number r₀ is greater than 1, while the disease-free equilibrium is globally asymptotically stable if r₀ is lower than 1. We extend the stability results of SIR models with graph Laplacian ( p = 2 ) to general graph p-Laplacian.

关 键 词：P-LAPLACIAN NETWORK Global Stability Lyapunov Function 

分 类 号：O17[理学—数学]