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The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission

Publish Year: 1402
Type: Journal paper
Language: English
View: 167

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Document National Code:

JR_IJFS-20-1_001

Index date: 17 January 2023

The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission abstract

For understanding the influence of malware attacking on complex heterogeneous networks, this work studies a fractional network-based SIRS epidemic model with fuzzy transmission and saturated treatment function. Firstly, we apply the next-generation method to obtain the basic reproductive ratio \mathcal{R}_0, that is an important threshold value in the investigation of asymptotic behavior of the proposed epidemic model. The obtained theoretical results indicates that the value \mathcal{R}_0 significantly depends on the topology structure of the underlying network and the malware load. In addition, we give a threshold value \tilde{\mathcal{R}}_0>\mathcal{R}_0 that not only determines the existence of endemic equilibrium  \mathbf{E}_\ast but also ensures the clean of malware programs on the network. At last, the sensitivity analysis of the threshold value \mathcal{R}_0 and some graphical simulations are presented to illustrate for the theoretical results.

The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission Keywords:

The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission authors

N. P. Dong

Faculty of Mathematics, Hanoi Pedagogical University ۲, Vinh Phuc, Vietnam

H. V. Long

Faculty of Information Technology, University of Technology-Logistic of Public Security, Bac Ninh, Vietnam

N. T. K. Son

Faculty of Natural Sciences, Hanoi Metropolitan University, Hanoi, Vietnam