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Dong, N. P., Long, H. V., Son, N. T. K.. (1401). The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission. نشریه علمی دانشگاه سیستان و بلوچستان, 20(1), 1-18. doi: 10.22111/ijfs.2023.7342
N. P. Dong; H. V. Long; N. T. K. Son. "The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission". نشریه علمی دانشگاه سیستان و بلوچستان, 20, 1, 1401, 1-18. doi: 10.22111/ijfs.2023.7342
Dong, N. P., Long, H. V., Son, N. T. K.. (1401). 'The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission', نشریه علمی دانشگاه سیستان و بلوچستان, 20(1), pp. 1-18. doi: 10.22111/ijfs.2023.7342
Dong, N. P., Long, H. V., Son, N. T. K.. The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission. نشریه علمی دانشگاه سیستان و بلوچستان, 1401; 20(1): 1-18. doi: 10.22111/ijfs.2023.7342

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

Iranian Journal of Fuzzy Systems
دوره 20، شماره 1، فروردین و اردیبهشت 2023، صفحه 1-18  XML اصل مقاله (717.79 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7342
نویسندگان
N. P. Dong* 1؛ H. V. Long2؛ N. T. K. Son3
1Faculty of Mathematics, Hanoi Pedagogical University 2, Vinh Phuc, Vietnam
2Faculty of Information Technology, University of Technology-Logistic of Public Security, Bac Ninh, Vietnam
3Faculty of Natural Sciences, Hanoi Metropolitan University, Hanoi, Vietnam
چکیده
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.
کلیدواژه‌ها
Fractional network-based epidemic model؛ fuzzy transmission؛ saturated treatment function؛ basic reproduction number؛ malware-free equilibrium؛ endemic equilibrium؛ asymptotic stability
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تعداد مشاهده مقاله: 78
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