Optimal control theory of an age-structured coronavirus disease model and the dynamical analysis of the underlying ordinary differential equation model having constant parameters |
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| Authors: | Muhammad Ibrahim Asaf Khan F. M. Allehiany Gul Zaman Vakkar Ali Tareq Saeed |
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| Affiliation: | 1. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China;2. Department of Mathematics & Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan;3. Department of Mathematical Sciences, College of Applied Sciences, Umm Al-Qura University, Mecca, Saudi Arabia;4. Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan;5. Department of Mechanical and Industrial Engineering, College of Engineering, Majmaah University, Al-Majmaah, Saudi Arabia;6. Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | This paper addresses the dynamics of COVID-19 using the approach of age-structured modeling. A particular case of the model is presented by taking into account age-free parameters. The sub-model consisting of ordinary differential equations (ODEs) is investigated for possible equilibria, and qualitative aspects of the model are rigorously presented. In order to control the spread of the disease, we considered two age- and time-dependent non-pharmaceutical control measures in the age-structured model, and an optimal control problem using a general maximum principle of Pontryagin type is achieved. Finally, sample simulations are plotted which support our theoretical work. |
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| Keywords: | age structured novel coronavirus optimal control theory simulation stability analysis |
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