Bulletin of Mathematical Biology, Volume 84, Issue 11 , 01/11/2022

Model Dynamics and Optimal Control for Intervention Policy of COVID-19 Epidemic with Quarantine and Immigrating Disturbances

Chidentree Treesatayapun

Abstract

A dynamic model called SqEAIIR for the COVID-19 epidemic is investigated with the effects of vaccination, quarantine and precaution promotion when the traveling and immigrating individuals are considered as unknown disturbances. By utilizing only daily sampling data of isolated symptomatic individuals collected by Mexican government agents, an equivalent model is established by an adaptive fuzzy-rules network with the proposed learning law to guarantee the convergence of the model’s error. Thereafter, the optimal controller is developed to determine the adequate intervention policy. The main theorem is conducted to demonstrate the setting of all designed parameters regarding the closed-loop performance. The numerical systems validate the efficiency of the proposed scheme to control the epidemic and prevent the overflow of requiring healthcare facilities. Moreover, the sufficient performance of the proposed scheme is achieved with the effect of traveling and immigrating individuals.

Document Type

Article

Source Type

Journal

Keywords

COVID-19Discrete-time systemsFuzzy rules emulated networksImpulsive disturbanceOptimal controlSqEAIIR model

ASJC Subject Area

Pharmacology, Toxicology and Pharmaceutics : PharmacologyNeuroscience : Neuroscience (all)Immunology and Microbiology : ImmunologyAgricultural and Biological Sciences : Agricultural and Biological Sciences (all)Biochemistry, Genetics and Molecular Biology : Biochemistry, Genetics and Molecular Biology (all)Environmental Science : Environmental Science (all)Mathematics : Mathematics (all)Computer Science : Computational Theory and Mathematics

Funding Agency

Consejo Nacional de Ciencia y Tecnología


Bibliography


& Treesatayapun, C. (2022). Model Dynamics and Optimal Control for Intervention Policy of COVID-19 Epidemic with Quarantine and Immigrating Disturbances. Bulletin of Mathematical Biology, 84(11) doi:10.1007/s11538-022-01080-w

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