Optimal control and free optimal time problem for a COVID-19 model with saturated vaccination function

Elhia, Mohamed; Chokri, Khalid; Alkama, Meryem

doi:10.28919/cmbn/5632

Cited by 4 publications

(1 citation statement)

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“…The literature on epidemic models is extensive, with structure variables and vaccination elements. In our References, we have listed many of such works [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 …”

Section: Introductionmentioning

confidence: 99%

An Epidemic Model with Infection Age and Vaccination Age Structure

Webb,

Zhao

2024

Infectious Disease Reports

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A model of epidemic dynamics is developed that incorporates continuous variables for infection age and vaccination age. The model analyzes pre-symptomatic and symptomatic periods of an infected individual in terms of infection age. This property is shown to be of major importance in the severity of the epidemic, when the infectious period of an infected individual precedes the symptomatic period. The model also analyzes the efficacy of vaccination in terms of vaccination age. The immunity to infection of vaccinated individuals varies with vaccination age and is also of major significance in the severity of the epidemic. Application of the model to the 2003 SARS epidemic in Taiwan and the COVID-19 epidemic in New York provides insights into the dynamics of these diseases. It is shown that the SARS outbreak was effectively contained due to the complete overlap of infectious and symptomatic periods, allowing for the timely isolation of affected individuals. In contrast, the pre-symptomatic spread of COVID-19 in New York led to a rapid, uncontrolled epidemic. These findings underscore the critical importance of the pre-symptomatic infectious period and the vaccination strategies in influencing the dynamics of an epidemic.

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Section: Introductionmentioning

confidence: 99%

An Epidemic Model with Infection Age and Vaccination Age Structure

Webb,

Zhao

2024

Infectious Disease Reports

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Implementation of Vaccination in an Epidemic Model for COVID-19

Rao

2023

Studies in Computational Intelligence

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A COVID-19 Epidemic Model Predicting the Effectiveness of Vaccination in the US

Webb

2021

Infectious Disease Reports

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A model of a COVID-19 epidemic is used to predict the effectiveness of vaccination in the US. The model incorporates key features of COVID-19 epidemics: asymptomatic and symptomatic infectiousness, reported and unreported cases data, and social measures implemented to decrease infection transmission. The model analyzes the effectiveness of vaccination in terms of vaccination efficiency, vaccination scheduling, and relaxation of social measures that decrease disease transmission. The model demonstrates that the subsiding of the epidemic as vaccination is implemented depends critically on the scale of relaxation of social measures that reduce disease transmission.

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Optimal control and free optimal time problem for a COVID-19 model with saturated vaccination function

Cited by 4 publications

References 0 publications

An Epidemic Model with Infection Age and Vaccination Age Structure

An Epidemic Model with Infection Age and Vaccination Age Structure

Implementation of Vaccination in an Epidemic Model for COVID-19

A COVID-19 Epidemic Model Predicting the Effectiveness of Vaccination in the US

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