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Optimal control strategies for the reliable and competitive mathematical analysis of Covid-19 pandemic model
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  • Azhar Iqbal Kashif BUTT,
  • Muhammad Imran,
  • D.B.D. Chamaleen,
  • Saira Batool
Azhar Iqbal Kashif BUTT
Government College University Lahore
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Muhammad Imran
Government College University Lahore
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D.B.D. Chamaleen
Government College University Lahore
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Saira Batool
Government College University Lahore
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Abstract

To understand dynamics of the COVID-19 disease realistically, a new SEIAPHR model has been proposed in this article where the infectious individuals have been categorized as symptomatic, asymptomatic and super-spreaders. The model has been investigated for existence of a unique solution. To measure the contagiousness of COVID-19, reproduction number R0 is also computed using next generation matrix method. It is shown that model is locally stable at disease free equilibrium point when R0 <1 and unstable for R0 >1. The model has been analyzed for global stability at both of the disease free and endemic equilibrium points. Sensitivity analysis is also included to examine the effect of parameters of the model on reproduction number R0. Couple of optimal control problems have been designed to study the effect of control strategies for disease control and eradication from the society. Numerical results show that the adopted control approaches are much effective in reducing new infections.
31 Dec 2021Submitted to Mathematical Methods in the Applied Sciences
03 Jan 2022Assigned to Editor
03 Jan 2022Submission Checks Completed
11 Jul 2022Reviewer(s) Assigned
11 Jul 2022Review(s) Completed, Editorial Evaluation Pending
11 Jul 2022Editorial Decision: Accept