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Dynamics of COVID‐19 Using SEIQR Epidemic Model

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  • N. Avinash
  • G. Britto Antony Xavier
  • Ammar Alsinai
  • Hanan Ahmed
  • V. Rexma Sherine
  • P. Chellamani

Abstract

The major goal of this study is to create an optimal technique for managing COVID‐19 spread by transforming the SEIQR model into a dynamic (multistage) programming problem with continuous and discrete time‐varying transmission rates as optimizing variables. We have developed an optimal control problem for a discrete‐time, deterministic susceptible class (S), exposed class (E), infected class (I), quarantined class (Q), and recovered class (R) epidemic with a finite time horizon. The problem involves finding the minimum objective function of a controlled process subject to the constraints of limited resources. For our model, we present a new technique based on dynamic programming problem solutions that can be used to minimize infection rate and maximize recovery rate. We developed suitable conditions for obtaining monotonic solutions and proposed a dynamic programming model to obtain optimal transmission rate sequences. We explored the positivity and unique solvability nature of these implicit and explicit time‐discrete models. According to our findings, isolating the affected humans can limit the danger of COVID‐19 spreading in the future.

Suggested Citation

  • N. Avinash & G. Britto Antony Xavier & Ammar Alsinai & Hanan Ahmed & V. Rexma Sherine & P. Chellamani, 2022. "Dynamics of COVID‐19 Using SEIQR Epidemic Model," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2138165
    DOI: 10.1155/2022/2138165
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    1. Nisar, Kottakkaran Sooppy & Jothimani, K. & Kaliraj, K. & Ravichandran, C., 2021. "An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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