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• W4383754169 abstract "Taking into account the spatial flow and relapse behaviors, this paper establishes a network-organized reaction-diffusion system for disease spreading with Laplacian matrices. In this paper, the Turing branch of the system is studied, and the derivation of the necessary conditions for Turing instability is extended from homogeneous networks to heterogeneous diffusion environment. Notably, our findings demonstrate that the system fails to exhibit Turing instability under conditions of constant growth, linear growth, and Logistic growth in susceptible individuals. Moreover, we assume that the susceptible follow the Logistic growth model with Allen effects, and proceed to explore the Turing pattern of the system by numerical methods. The simulation results for homogeneous networks show that the infection rate have a significant impact on the distribution patterns of the population on lattice networks. The results for heterogeneous networks show that the diffusion environments of susceptible population and infected population play a dominant role in the formation of network Turing patterns, and the difference between their average degrees shows a positive correlation with the difficulty of pattern formation." @default.
• W4383754169 created "2023-07-11" @default.
• W4383754169 creator A5037298158 @default.
• W4383754169 creator A5045846415 @default.
• W4383754169 date "2023-07-10" @default.
• W4383754169 modified "2023-09-26" @default.
• W4383754169 title "Turing pattern of an SIRI model on large-scale homogeneous and heterogeneous networks" @default.
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• W4383754169 doi "https://doi.org/10.1007/s11071-023-08713-2" @default.
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