Nonlinear control of infection spread based on a deterministic SEIR model.

Chaos, Solitons, and Fractals
Vinicius Piccirillo

Abstract

In this study, a mathematical model (SEIR model) with a restriction parameter is used to explore the dynamic of the COVID-19 pandemic. This work presents a nonlinear and robust control algorithm based on variable structure control (VSC) to control the transmission of coronavirus disease (COVID-19). The VSC algorithm is a control gain switching technique in which is necessary to define a switching surface. Three switching surfaces are proposed based on rules that depend on: (i) exposed and infected population, (ii) susceptible and infected population, and (iii) susceptible and total population. In case (iii) a model-based state estimator is presented based on the extended Kalman filter (EKF) and the estimator is used in combination with the VSC. Numerical results demonstrate that the proposed control strategies have the ability to flatten the infection curve. In addition, the simulations show that the success of lowering and flattening the epidemic peak is strongly dependent on the chosen switching surfaces. A comparison between the VSC and sliding mode control (SMC) is presented showing that the VSC control can provide better performance taking into account two aspects: time duration of pandemic and the flattened curve peak wit...Continue Reading

References

Jun 21, 2001·Proceedings. Biological Sciences·M J Keeling, C A Gilligan
May 27, 2003·Science·Marc LipsitchMegan Murray
Jul 28, 2012·Bulletin of Mathematical Biology·Yanni XiaoSanyi Tang
Mar 5, 2015·Scientific Reports·Joshua S Weitz, Jonathan Dushoff
Feb 13, 2020·Euro Surveillance : Bulletin Européen Sur Les Maladies Transmissibles = European Communicable Disease Bulletin·Jantien A BackerJacco Wallinga
Feb 26, 2020·Journal of Clinical Medicine·Péter BoldogGergely Röst
Mar 8, 2020·International Journal of Infectious Diseases : IJID : Official Publication of the International Society for Infectious Diseases·Qianying LinDaihai He
Mar 15, 2020·The Lancet Infectious Diseases·Adam J KucharskiUNKNOWN Centre for Mathematical Modelling of Infectious Diseases COVID-19 working group
Jun 4, 2020·Chaos·Rebecca E Morrison, Americo Cunha
Aug 25, 2020·Physica D. Nonlinear Phenomena·Steven J WeinsteinNathaniel S Barlow
Aug 25, 2020·Nonlinear Dynamics·G Rohith, K B Devika
Sep 29, 2020·Chaos, Solitons, and Fractals·Ian CooperChris G Antonopoulos
Oct 6, 2020·Applied Mathematical Modelling·Nikolay A KudryashovMichael Vigdorowitsch
Feb 2, 2021·Chaos, Solitons, and Fractals·Faïçal NdaïrouDelfim F M Torres

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.