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Volume 7, Issue 2
Spreading Analysis of an SEIR Epidemic Model with Distributed Delay on Scale-Free Network

Hanwu Liu, Zhuoyue Liu & Fengqin Zhang

DOI: 10.12150/jnma.2025.429

J. Nonl. Mod. Anal., 7 (2025), pp. 429-438.

Published online: 2025-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

A novel epidemic SEIR model with distributed delay on scale-free network is proposed in this paper. The formula of the basic reproduction number $R_0$ for the model is given, and globally dynamic behaviours of the model are discussed. Numerical simulations are carried out to demonstrate the main results.

  • Keywords

Epidemic model, network, distributed delay, basic reproduction number, stability.

  • AMS Subject Headings

34K20, 92C42

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-429, author = {Liu , HanwuLiu , Zhuoyue and Zhang , Fengqin}, title = {Spreading Analysis of an SEIR Epidemic Model with Distributed Delay on Scale-Free Network}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {429--438}, abstract = {

A novel epidemic SEIR model with distributed delay on scale-free network is proposed in this paper. The formula of the basic reproduction number $R_0$ for the model is given, and globally dynamic behaviours of the model are discussed. Numerical simulations are carried out to demonstrate the main results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.429}, url = {http://global-sci.org/intro/article_detail/jnma/23982.html} }
TY - JOUR T1 - Spreading Analysis of an SEIR Epidemic Model with Distributed Delay on Scale-Free Network AU - Liu , Hanwu AU - Liu , Zhuoyue AU - Zhang , Fengqin JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 429 EP - 438 PY - 2025 DA - 2025/04 SN - 7 DO - http://doi.org/10.12150/jnma.2025.429 UR - https://global-sci.org/intro/article_detail/jnma/23982.html KW - Epidemic model, network, distributed delay, basic reproduction number, stability. AB -

A novel epidemic SEIR model with distributed delay on scale-free network is proposed in this paper. The formula of the basic reproduction number $R_0$ for the model is given, and globally dynamic behaviours of the model are discussed. Numerical simulations are carried out to demonstrate the main results.

Liu , HanwuLiu , Zhuoyue and Zhang , Fengqin. (2025). Spreading Analysis of an SEIR Epidemic Model with Distributed Delay on Scale-Free Network. Journal of Nonlinear Modeling and Analysis. 7 (2). 429-438. doi:10.12150/jnma.2025.429
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