Abstract
Based on the SEIR COVID-19 epidemic model of susceptible people with basic medical histories, this paper introduces time delay, establishes a class of COVID-19 time-delay transmission model, obtains the basic reproduction number of its transmission, and determines the existence of the equilibrium point of the model. The global stability of the equilibrium point is proved by constructing the Lyapunov function and using the LaSalle invariance principle. The theoretical results are verified by numerical simulation, and the impact of different time delays on the spread of COVID-19 is discussed.
Reference16 articles.
1. Rudrapal M. Khairnar SJ. Borse LB. Jadhav AG. Coronavirus disease-2019 (COVID-19): an updated review [J]. Drug research (Stuttg), 2020, 70(9): 389–400.
2. Xiao Y, Qian K, Luo Y, et al. Severe acute respiratory syndrome coronavirus 2 infection in renal failure patients: a potential covert source of infection [J]. Eur Urol 2020, 78(2): 298–299.
3. Guo Z, Chen Q. Study on the impact of COVID-19 to Global Economic Governance [J]. Reform of Economic System, 2020 (6): 29-35.
4. Diallo O, Kone Y, Sanogo C, Pousin J. A mathematical model of COVID-19: Analysis and identification of parameters for better decision making [J]. Applied Mathematics, 2022, 13(02): 205-214.
5. Li Q, Xiao Y, Wu J, et al. Modelling COVID-19 epidemic with time delay and analyzing the strategy of confirmed cases-driven contact tracing followed by quarantine [J]. Acta Mathematicae Applicatae Sinica, 2020, 43(02): 238-250.