Liu, Chongyang and Gao, Jie and Kanesan, Jeevan (2024) Dynamics analysis and optimal control of delayed SEIR model in COVID-19 epidemic. Journal of Inequalities and Applications, 2024 (1). p. 66. ISSN 1029-242X, DOI https://doi.org/10.1186/s13660-024-03140-2.
Full text not available from this repository.Abstract
The coronavirus disease 2019 (COVID-19) remains serious around the world and causes huge deaths and economic losses. Understanding the transmission dynamics of diseases and providing effective control strategies play important roles in the prevention of epidemic diseases. In this paper, to investigate the effect of delays on the transmission of COVID-19, we propose a delayed SEIR model to describe COVID-19 virus transmission, where two delays indicating the incubation and recovery periods are introduced. For this system, we prove its solutions are nonnegative and ultimately bounded with the nonnegative initial conditions. Furthermore, we calculate the disease-free and endemic equilibrium points and analyze the asymptotical stability and the existence of Hopf bifurcations at these equilibrium points. Then, by taking the weighted sum of the opposite number of recovered individuals at the terminal time, the number of exposed and infected individuals during the time horizon, and the system cost of control measures as the cost function, we present a delay optimal control problem, where two controls represent the social contact and the pharmaceutical intervention. Necessary optimality conditions of this optimal control problem are exploited to characterize the optimal control strategies. Finally, numerical simulations are performed to verify the theoretical analysis of the stability and Hopf bifurcations at the equilibrium points and to illustrate the effectiveness of the obtained optimal strategies in controlling the COVID-19 epidemic.
| Item Type: | Article |
|---|---|
| Funders: | National Natural Science Foundation of China (NSFC), Shandong Province Natural Science Foundation of China (ZR2023MA054) ; (12271307) |
| Uncontrolled Keywords: | Delayed SEIR; Stability; Hopf bifurcation; Optimal control; Necessary optimality conditions; Numerical simulation |
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Faculty of Engineering > Department of Electrical Engineering |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 19 Sep 2024 02:37 |
| Last Modified: | 19 Sep 2024 02:37 |
| URI: | http://eprints.um.edu.my/id/eprint/45243 |
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