Geodesic
Transmission dynamics of coronavirus and the effect of vaccination using SEIR model
Serdica Mathematical Journal, Tome 47 (2022) no. 2, pp. 161-178.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

In the present paper, an SEIR mathematical model has been discussed to study the transmission dynamics of the coronavirus and the impact of vaccination in which infected individuals have been classified based on vaccination status. Local stability and global stability analysis have been done for the disease free equilibrium state. It is observed that the disease free equilibrium state is local  asymptotically stable when R0<1. Sensitivity analysis has been performed and the effects of different classes of infected individuals have been studied. It has been found that the basic reproduction number shows the highest sensitivity towards the nonvaccinated class of infected individuals as compared to other infected classes. Analytical results have been expressed graphically.
Keywords: Covid-19, vaccination, disease free equilibrium, stability analysis, sensitivity analysis, basic reproduction number, 34A34, 34D20, 34D23 
@article{SMJ2_2022_47_2_a5,
     author = {Tiwari, Sandeep Kumar and Porwal, Pradeep and Barve, Trupti},
     title = {Transmission dynamics of coronavirus and the effect of vaccination using {SEIR} model},
     journal = {Serdica Mathematical Journal},
     pages = {161--178},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2022_47_2_a5/}
}
TY  - JOUR
AU  - Tiwari, Sandeep Kumar
AU  - Porwal, Pradeep
AU  - Barve, Trupti
TI  - Transmission dynamics of coronavirus and the effect of vaccination using SEIR model
JO  - Serdica Mathematical Journal
PY  - 2022
SP  - 161
EP  - 178
VL  - 47
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2022_47_2_a5/
LA  - en
ID  - SMJ2_2022_47_2_a5
ER  - 
%0 Journal Article
%A Tiwari, Sandeep Kumar
%A Porwal, Pradeep
%A Barve, Trupti
%T Transmission dynamics of coronavirus and the effect of vaccination using SEIR model
%J Serdica Mathematical Journal
%D 2022
%P 161-178
%V 47
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2022_47_2_a5/
%G en
%F SMJ2_2022_47_2_a5
Tiwari, Sandeep Kumar; Porwal, Pradeep; Barve, Trupti. Transmission dynamics of coronavirus and the effect of vaccination using SEIR model. Serdica Mathematical Journal, Tome 47 (2022) no. 2, pp. 161-178. http://geodesic.mathdoc.fr/item/SMJ2_2022_47_2_a5/