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Keywords = fractional-order epidemic network model

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15 pages, 3262 KiB  
Article
Dynamics and Event-Triggered Impulsive Control of a Fractional-Order Epidemic Model with Time Delay
by Na Liu, Jia Wang, Qixun Lan and Wei Deng
Fractal Fract. 2024, 8(1), 22; https://doi.org/10.3390/fractalfract8010022 - 27 Dec 2023
Cited by 3 | Viewed by 1664
Abstract
Due to the lack of timely protection measures against infectious diseases, or based on the particularity of the transmission of some infectious diseases and the time-varying connections between people, the transmission dynamics of infectious diseases in the information society are becoming more and [...] Read more.
Due to the lack of timely protection measures against infectious diseases, or based on the particularity of the transmission of some infectious diseases and the time-varying connections between people, the transmission dynamics of infectious diseases in the information society are becoming more and more complex and changeable. A fractional-order epidemic mathematical model with network weighting and latency is proposed in this paper, and the stability near the disease-free equilibrium point and endemic equilibrium point are discussed separately. Subsequently, an event-triggered impulsive control strategy based on an infection rate threshold is put forward. By selecting the appropriate control gain, the Zeno phenomenon can be eliminated on the premise of ensuring the stability of the control error system. Finally, the theoretical results were validated numerically and some conclusions are presented. These findings contribute to future research on the limited-time event-triggered impulsive control of infectious diseases. Full article
(This article belongs to the Special Issue Novel and Innovative Methods for Fractional-Order Epidemic Model)
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17 pages, 5544 KiB  
Article
Epidemic Dynamics of a Fractional-Order SIR Weighted Network Model and Its Targeted Immunity Control
by Na Liu, Jie Fang, Junwei Sun and Sanyi Li
Fractal Fract. 2022, 6(5), 232; https://doi.org/10.3390/fractalfract6050232 - 22 Apr 2022
Cited by 3 | Viewed by 2243
Abstract
With outbreaks of epidemics, an enormous loss of life and property has been caused. Based on the influence of disease transmission and information propagation on the transmission characteristics of infectious diseases, in this paper, a fractional-order SIR epidemic model is put forward on [...] Read more.
With outbreaks of epidemics, an enormous loss of life and property has been caused. Based on the influence of disease transmission and information propagation on the transmission characteristics of infectious diseases, in this paper, a fractional-order SIR epidemic model is put forward on a two-layer weighted network. The local stability of the disease-free equilibrium is investigated. Moreover, a conclusion is obtained that there is no endemic equilibrium. Since the elderly and the children have fewer social tiers, a targeted immunity control that is based on age structure is proposed. Finally, an example is presented to demonstrate the effectiveness of the theoretical results. These studies contribute to a more comprehensive understanding of the epidemic transmission mechanism and play a positive guiding role in the prevention and control of some epidemics. Full article
(This article belongs to the Topic Fractional Calculus: Theory and Applications)
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