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Liu, Z., Tian, C. and Ruan, S. (2020) On a Network Model of Two Competitors with Applications to the Invasion and Competition of Aedes albopictus and Aedes aegypti Mosquitoes in the United States. SIAM Journal on Applied Mathematics, 80, 929-950.
https://doi.org/10.1137/19M1257950

has been cited by the following article:

• TITLE: Global Stability in a Graph p-Laplacian SIR Epidemic Model

  AUTHORS: Ling Zhou, Yu Zhang, Zuhan Liu

  KEYWORDS: p-Laplacian, Network, Global Stability, Lyapunov Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.12, December 26, 2023

  ABSTRACT: 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.