Vaccination control of an epidemic model with time delay and its application to COVID-19.

Nonlinear Dynamics
Shidong ZhaiPing Zhou

Abstract

This paper studies an SEIR-type epidemic model with time delay and vaccination control. The vaccination control is applied when the basic reproduction number R 0 > 1 . The vaccination strategy is expressed as a state delayed feedback which is related to the current and previous state of the epidemic model, and makes the model become a linear system in new coordinates. For the presence and absence of vaccination control, we investigate the nonnegativity and boundedness of the model, respectively. We obtain some sufficient conditions for the eigenvalues of the linear system such that the nonnegativity of the epidemic model can be guaranteed when the vaccination strategy is applied. In addition, we study the stability of disease-free equilibrium when R 0 < 1 and the persistent of disease when R 0 > 1 . Finally, we use the obtained theoretical results to simulate the vaccination strategy to control the spread of COVID-19.

References

Aug 6, 2003·Mathematical Biosciences·C P Farrington
Nov 21, 2007·Journal of Theoretical Biology·Xianning LiuShingo Iwami
Aug 31, 2013·Journal of Mathematical Biology·Yuan Yuan, Jacques Bélair
Oct 3, 2017·Mathematical Biosciences·G O AgabaK B Blyuss
Oct 17, 2017·Journal of Theoretical Biology·Junli LiuTailei Zhang
Feb 10, 2018·Mathematical Biosciences·Omprakash Singh SisodiyaJoydip Dhar
Sep 8, 2019·Theory in Biosciences = Theorie in Den Biowissenschaften·Abhishek Kumar Nilam
Jan 30, 2020·The New England Journal of Medicine·Qun LiZijian Feng
Mar 22, 2020·The Lancet Global Health·Marzia Lazzerini, Giovanni Putoto
Apr 9, 2020·Euro Surveillance : Bulletin Européen Sur Les Maladies Transmissibles = European Communicable Disease Bulletin·Henrik SjödinJoacim Rocklöv
Apr 25, 2020·The New England Journal of Medicine·Melissa M AronsUNKNOWN Public Health–Seattle and King County and CDC COVID-19 Investigation Team
May 15, 2020·Respiratory Medicine·Ming GaoXinglin Gao
Jun 24, 2020·Frontiers in Public Health·José M CarcioneJing Ba
Jul 6, 2020·The Lancet Infectious Diseases·Hamada S BadrLauren M Gardner
Dec 16, 2020·BMJ : British Medical Journal·Janice Hopkins Tanne

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