Observer-based adaptive PI sliding mode control of developed uncertain SEIAR influenza epidemic model considering dynamic population

Mehra, Amir Hossein Amiri; Zamani, Iman; Abbasi, Zohreh; Ibeas, Asier

doi:10.1016/j.jtbi.2019.08.015

Cited by 26 publications

(15 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a result, the number of susceptible individuals decreases and moves to the recovered individual group at the same time. This means the susceptible people vaccinate against the disease in almost 25 days ðt 3 Þ (the healthy cells of the susceptible individual convert to resistant-to-infection cells in eight days as the delay time with vaccination), while in [13], the final time of the vaccination campaign of nearly 40 days is suggested without considering the delay in the vaccination of susceptible people. 7.3.2.…”

Section: Optimal Control Results Between Hostsmentioning

confidence: 99%

“…It is obvious that injecting a vaccine into the susceptible person's bodies takes time to vaccinate them (recovered) against the disease. Unlike [ 13 , 19 ], in the current paper, this time is considered as a delay in moving susceptible people to the recovered people group in the society, which is investigated in Section 5 in detail. As long as the healthy cells have not become resistant-to-infection cells in the susceptible body, the person has not been vaccinated against the disease, and there is still a risk of infection.…”

Section: Optimal Control Of Within-host Epidemic Modelmentioning

confidence: 99%

“…Likewise, in this study, motivated by the previous paper, a combined model with different relationships is presented that will be discussed in detail in the following sections. The authors in [ 13 ] have used the sliding mode control on the SEIAR dynamic to overcome the uncertainty of parameters. However, they have not considered the optimal time to eradicate the infection in society, and they only refer to the between-hosts dynamic.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate

Abbasi

Zamani

Mehra

et al. 2021

Computational and Mathematical Methods in Medicine

Self Cite

View full text Add to dashboard Cite

In this study, two types of epidemiological models called “within host” and “between hosts” have been studied. The within-host model represents the innate immune response, and the between-hosts model signifies the SEIR (susceptible, exposed, infected, and recovered) epidemic model. The major contribution of this paper is to break the chain of infectious disease transmission by reducing the number of susceptible and infected people via transferring them to the recovered people group with vaccination and antiviral treatment, respectively. Both transfers are considered with time delay. In the first step, optimal control theory is applied to calculate the optimal final time to control the disease within a host’s body with a cost function. To this end, the vaccination that represents the effort that converts healthy cells into resistant-to-infection cells in the susceptible individual’s body is used as the first control input to vaccinate the susceptible individual against the disease. Moreover, the next control input (antiviral treatment) is applied to eradicate the concentrations of the virus and convert healthy cells into resistant-to-infection cells simultaneously in the infected person’s body to treat the infected individual. The calculated optimal time in the first step is considered as the delay of vaccination and antiviral treatment in the SEIR dynamic model. Using Pontryagin’s maximum principle in the second step, an optimal control strategy is also applied to an SEIR mathematical model with a nonlinear transmission rate and time delay, which is computed as optimal time in the first step. Numerical results are consistent with the analytical ones and corroborate our theoretical results.

show abstract

Section: Optimal Control Results Between Hostsmentioning

confidence: 99%

Section: Optimal Control Of Within-host Epidemic Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate

Abbasi

Zamani

Mehra

et al. 2021

Computational and Mathematical Methods in Medicine

Self Cite

View full text Add to dashboard Cite

show abstract

“…The researchers are devoted to model and control the spread of influenza disease in society. In [ 31 ], the authors describe the influenza behavior with the SEIAR model. The antiviral treatment and vaccination are considered control input signals.…”

Section: Introductionmentioning

confidence: 99%

Transmission dynamics of novel coronavirus SARS-CoV-2 among healthcare workers, a case study in Iran

2021

View full text Add to dashboard Cite

One of the main concerns during the COVID-19 pandemic was the protection of healthcare workers against the novel coronavirus. The critical role and vulnerability of healthcare workers during the COVID-19 pandemic leads us to derive a mathematical model to express the spread of coronavirus between the healthcare workers. In the first step, the SECIRH model is introduced, and then the mathematical equations are written. The proposed model includes eight state variables, i.e., Susceptible, Exposed, Carrier, Infected, Hospitalized, ICU admitted, Dead, and finally Recovered. In this model, the vaccination, protective equipment, and recruitment policy are considered as preventive actions. The formal confirmed data provided by the Iranian ministry of health is used to simulate the proposed model. The simulation results revealed that the proposed model has a high degree of consistency with the actual COVID-19 daily statistics. In addition, the roles of vaccination, protective equipment, and recruitment policy for the elimination of coronavirus among the healthcare workers are investigated. The results of this research help the policymakers to adopt the best decisions against the spread of coronavirus among healthcare workers.

show abstract

“…In the last year, the design of a controller for the nonlinear epidemiological model of Covid-19 turns into a popular topic [35][36][37][38][39]. In [40], the authors proposed an optimal controller based on the Pontryagin principle to mitigate the spread of Covid-19.…”

Section: Introductionmentioning

confidence: 99%

Design a robust sliding mode controller based on the state and parameter estimation for the nonlinear epidemiological model of Covid-19

2021

View full text Add to dashboard Cite

Observer-based adaptive PI sliding mode control of developed uncertain SEIAR influenza epidemic model considering dynamic population

Cited by 26 publications

References 20 publications

Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate

Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate

Transmission dynamics of novel coronavirus SARS-CoV-2 among healthcare workers, a case study in Iran

Design a robust sliding mode controller based on the state and parameter estimation for the nonlinear epidemiological model of Covid-19

Contact Info

Product

Resources

About