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Journal of Applied Nonlinear Dynamics 13(1) (2024) 27--35 | DOI:10.5890/JAND.2024.03.003

Isha Talati$^1$, Devanshi Shah$^2$, Azharuddin Shaikh$^3$, Amisha Patel$^3$, Poonam Mishra$^2$

$^1$ Unitedworld School of Computational Intelligence, Karnavati University, Gandhinagar-382422, India

$^2$ Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Raisan, Gandhinagar- 382007, India

$^3$ Institute of Management, Nirma University, Sarkhej-Gandhinagar Highway, Ahmedabad-382481, India

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Abstract

India is the second most populated country in the world and supply of COVID-19 vaccine is limited. Thus the effective use of COVID-19 vaccine is important. Here we have formulated an age structure SIRS model (Susceptible-infected-recovered- of COVID-19 in India. This model helps us to understand the characteristics of COVID-19 in with and without vaccination scenario. To formulate this model we have considered population factors like contact structure and country specific age structure. Further using optimization algorithm (GA) paired with age stratified mathematical model; we have determined optimal allocation for three matrices-infections, year of life loss, death.We have found that a vaccine with efficacy $\geq 70\%$ would be enough to control death, infection and year of life loss.

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