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Huan Gao, Jin-Shan Zhang and Siyan Pan, The heterogeneous mean-field SLEIR propagation dynamics model on the complex network, Eur. J. Math. Appl. 4 (2024), Article ID 3.

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Volume 4 (2024), Article ID 3

https://doi.org/10.28919/ejma.2024.4.3

Published: 15/03/2024

Abstract:

Since the outbreak of the novel coronavirus in early 2020, the epidemic has been affecting our lives. Firstly, a heterogeneous mean-field SLEIR model based on complex networks was established to find disease-free equilibrium points and endemic equilibrium points, and the prediction results in the small-world networks, BA scale-free networks, and ER random networks were compared and analyzed. It was found that the prediction effect of the BA scale-free network using the heterogeneous mean-field model was poor. And most of the prediction results of a single degree are better than the heterogeneous mean-field, while the effect of small-world network and ER random network is the opposite. Through the experiment, it is found that the main reason for this is that the degree distribution of small-world network, ER random network and BA scale-free network is different. Therefore, when conducting predictions using heterogeneous mean-field method, it is preferable to choose the small-world networks as they generally exhibit superior performance compared to other network types.

How to Cite:

Huan Gao, Jin-Shan Zhang and Siyan Pan, The heterogeneous mean-field SLEIR propagation dynamics model on the complex network, Eur. J. Math. Appl. 4 (2024), Article ID 3. https://doi.org/10.28919/ejma.2024.4.3