تعداد نشریات | 27 |
تعداد شمارهها | 589 |
تعداد مقالات | 6,026 |
تعداد مشاهده مقاله | 8,849,583 |
تعداد دریافت فایل اصل مقاله | 5,834,285 |
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 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 | ||
آمار تعداد مشاهده مقاله: 78 تعداد دریافت فایل اصل مقاله: 152 |