Learning-based impulse control with event-triggered conditions for an epidemic dynamic system

Bi, Kaiming; Chen, Yuyang; Wu, Chih-Hang John; Ben‐Arieh, David

doi:10.1016/j.cnsns.2021.106204

Cited by 9 publications

(2 citation statements)

References 25 publications

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“…Meanwhile, the control input of the event-triggered impulsive control is only determined by some event-triggered conditions related to the system's state. Due to many factors that affect the transmission characteristics of infectious diseases, the applications of an event-triggering mechanism in the research field of infectious diseases are relatively few [27,28]. In study [27], although the application of event-triggering control to the SIS infectious disease model achieved effective control, it only considered the event triggering based on a single parameter, namely, infection rate.…”

Section: Introductionmentioning

confidence: 99%

Dynamics and Event-Triggered Impulsive Control of a Fractional-Order Epidemic Model with Time Delay

Liu,

Wang,

Lan

et al. 2023

Fractal Fract

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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.

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Section: Introductionmentioning

confidence: 99%

Dynamics and Event-Triggered Impulsive Control of a Fractional-Order Epidemic Model with Time Delay

Liu,

Wang,

Lan

et al. 2023

Fractal Fract

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show abstract

“…The bistability and bifurcation problems in viral dynamics models have attracted the interest and attention of researchers in recent years [1,2,16]. Not only in viral dynamics models, the bifurcation problem has also been considered in other biological models, such as healthcare and epidemic dynamics models [13,14,[17][18][19][20][21][22] and population models [12]. The phenomenon of bifurcation indicates the complex dynamic behavior of the model, and different bifurcations make different sense.…”

Section: Introductionmentioning

confidence: 99%

Bistability and Robustness for Virus Infection Models with Nonmonotonic Immune Responses in Viral Infection Systems

Wang

2022

Mathematics

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Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the existing transcritical bifurcation undergoes backward or forward bifurcation in viral infection models with nonmonotonic immune responses. Our investigation demonstrates that the backward bifurcation threshold is the elite control threshold. When the immune intensity is greater than the elite control threshold, the virus will be under elite control; when the immune intensity is less than the elite control threshold, the virus may rebound. We also give a new definition of robustness to characterize bistable systems.

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Exponential synchronization of delayed coupled neural networks with delay-compensatory impulsive control

Ling,

Shi,

Wang

et al. 2024

ISA Transactions

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Learning-based impulse control with event-triggered conditions for an epidemic dynamic system

Cited by 9 publications

References 25 publications

Dynamics and Event-Triggered Impulsive Control of a Fractional-Order Epidemic Model with Time Delay

Dynamics and Event-Triggered Impulsive Control of a Fractional-Order Epidemic Model with Time Delay

Bistability and Robustness for Virus Infection Models with Nonmonotonic Immune Responses in Viral Infection Systems

Exponential synchronization of delayed coupled neural networks with delay-compensatory impulsive control

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