The Analysis of A Fractional Network-Based Epidemic Model with Saturated Treatment Function and Fuzzy Transmission
محل انتشار: نهمین کنگره مشترک سیستم های فازی و هوشمند ایران
سال انتشار: 1400
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 133
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شناسه ملی سند علمی:
FJCFIS09_070
تاریخ نمایه سازی: 10 اردیبهشت 1401
چکیده مقاله:
In this work, a fractional network-based SIRS epidemic model with saturated treatment function and fuzzy transmission are introduced to characterize the malware attacking on complex heterogeneous networks. By using next-generation method, the threshold value R۰, namely basic reproductive ratio, is obtained, that determines not only the existence of endemic equilibrium E∗ but also the asymptotic stability of the model’s equilibrium points. The theoretical results indicates that the value R۰ significantly depends on the topology structure of the underlying network and the malware load. Some graphical simulations are presented to illustrate the analytical results.
کلیدواژه ها:
fractional network-based epidemic model ، fuzzy transmission ، basic reproduction number ، malware-freeequilibrium ، endemic equilibrium ، asymptotic stability.
نویسندگان
Nguyen Phuong Dong
Department of Mathematics, Hanoi Pedagogical University ۲, Vinhphuc, Vietnam
Hoang Viet Long
Department of Information Technology, People’s Police University of Technology and Logistics, Bacninh, Vietnam
Nguyen Thi Kim Son
Department of Natural Sciences, Hanoi Metropolitan University, Hanoi, Vietnam