ABSTRACT
COVID-19 is the short name of the coronavirus disease discovered in Wuhan, China, in 2019. In the context of Tanzania, we develop a mathematical model in this work that compares lockdown and quarantine. Again, we provide evidence in favor of local and global stability, with the basic reproduction number, R 0 , determined to be 0.31 at the diagnostic test rates k 1 = k 2 = 0.05. In comparison to the lockdown, it has been discovered that isolating (or quarantining) affected individuals is the most effective way to stop the spread of COVID-19. Additionally, it is advised that governments in Tanzania and other African countries permit their citizens to go about their daily lives as long as they take the necessary precautions, such as donning face masks, washing their hands, and avoiding crowded gatherings in case of a recurrence of any form of COVID-19. [ FROM AUTHOR] Copyright of Computational & Mathematical Methods in Medicine is the property of Hindawi Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full . (Copyright applies to all s.)
ABSTRACT
The outbreak of COVID-19 was first experienced in Wuhan City, China, during December 2019 before it rapidly spread over globally. This paper has proposed a mathematical model for studying its transmission dynamics in the presence of face mask wearing and hospitalization services of human population in Tanzania. Disease-free and endemic equilibria were determined and subsequently their local and global stabilities were carried out. The trace-determinant approach was used in the local stability of disease-free equilibrium point while Lyapunov function technique was used to determine the global stability of both disease-free and endemic equilibrium points. Basic reproduction number, R0 , was determined in which its numerical results revealed that, in the presence of face masks wearing and medication services or hospitalization as preventive measure for its transmission, R0=0.698 while in their absence R0=3.8 . This supports its analytical solution that the disease-free equilibrium point E0 is asymptotically stable whenever R0<1 , while endemic equilibrium point E∗ is globally asymptotically stable for R0>1 . Therefore, this paper proves the necessity of face masks wearing and hospitalization services to COVID-19 patients to contain the disease spread to the population.