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- Title
The analysis of a fractional network-based epidemic model with saturated treatment function and fuzzy transmission.
- Authors
Dong, N. P.; Long, H. V.; Son, N. T. K.
- 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 R0, 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 R0 significantly depends on the topology structure of the underlying network and the malware load. In addition, we give a threshold value R̃0 > R0 that not only determines the existence of endemic equilibrium E* but also ensures the clean of malware programs on the network. At last, the sensitivity analysis of the threshold value R0 and some graphical simulations are presented to illustrate for the theoretical results.
- Subjects
EPIDEMICS; BASIC reproduction number; SENSITIVITY analysis
- Publication
Iranian Journal of Fuzzy Systems, 2023, Vol 20, Issue 1, p1
- ISSN
1735-0654
- Publication type
Article