Analysis of SIR Model With Optimal Control Strategy for a Simple Traffic Congestion Process

Document Type

Article

Source of Publication

Communications in Mathematical Biology and Neuroscience

Publication Date

1-1-2024

Abstract

Traffic analysis on highways at the macroscopic level is very similar to the analysis of the spread of infectious diseases, namely the susceptible-infected-recover (SIR) model. We propose the SIR model with a control variable. The dynamics with fixed control and stability of the model are analyzed. Sensitivity analysis was also carried out. Variable control is applied as an effort to regulate or change the duration of the green light at an intersection. We obtain an optimal control strategy when the control is time-dependent. Numerical results show the positive impacts of implementing the control to susceptible vehicles and treatment for congested vehicles. We have also done an efficiency analysis, which shows that control is more effective than without control.

ISSN

2052-2541

Publisher

SCIK Publishing Corporation

Volume

2024

Disciplines

Mathematics

Keywords

optimal control, SIR, traffic congestion

Scopus ID

85183421636

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

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