Abstract
On 11 March 2020, the World Health Organization declared the outbreak of severe acute respiratory syndrome coronavirus 2 (SARS-Cov-2) a pandemic and a Public Health Emergency of International Concern. As of 29 March 2020, coronavirus disease 2019 (COVID-19) has affected 199 countries and territories, resulting in 683,536 positive cases and causing 32,139 deaths. The pandemic has the potential to become extremely destructive globally if not treated seriously. In this study, we propose a generalized SEIR model of COVID-19 to study the behaviour of its transmission under different control strategies. In the model, all possible cases of human-to-human transmission are considered and its reproduction number is formulated to analyse the accurate transmission dynamics of the coronavirus outbreak. Optimal control theory is applied to the model to demonstrate the impact of various intervention strategies, including voluntary quarantine, isolation of infected individuals, improving an individual's immunity, and hospitalization. In addition, the effect of control strategies on the model is analysed graphically by simulating the model numerically.
Highlights
In December 2019, the pandemic outbreak of coronavirus disease 2019 (COVID-19) drew intense attention within China but internationally [1]
Chinese New Year celebrations accelerated the outbreak of COVID-19 throughout China, as many people travelled to their hometown or other destinations for the holiday
During the initial stages of the COVID-19 outbreak, such human transmission was commonly taking place because the public were unaware of these risk factors, and infected individuals were not isolated, and were spreading the virus unknowingly to other individuals
Summary
In December 2019, the pandemic outbreak of coronavirus disease 2019 (COVID-19) drew intense attention within China but internationally [1]. During the initial stages of the COVID-19 outbreak, such human transmission was commonly taking place because the public were unaware of these risk factors, and infected individuals were not isolated, and were spreading the virus unknowingly to other individuals. To control its transmission further, isolating infected individuals in special quarantine arrangements has been implemented in many of the countries affected Despite these preventative strategies, transmission is still ongoing and the mortality rate due to the virus remains at a high level. Transmission is still ongoing and the mortality rate due to the virus remains at a high level To combat this situation, studies involving mathematical modelling play a crucial role in understanding the pandemic behaviour of infectious diseases. Optimal control theory is introduced and applied to the model for development in Section 3, and in Section 4, the model is simulated numerically to observe the effect of control strategies on the model
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
