Transmission Dynamics of Coronavirus Pandemic: Modeling and Stability Analysis
V. C. Obasi *
Department of Mathematics, Alvan Ikoku Federal College of Education, Owerri, Nigeria.
B. U. Nwaka
Department of Physics, Alvan Ikoku Federal College of Education, Owerri, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Covid-19, as a pandemic disease around the world, has generated great threat to human society and caused enormous mortality with weak surveillance system. In this paper, we propose a mathematical model to describe the transmission of Covid-19. Moreover, basic reproduction number and the local and global dynamics of the dynamical model are obtained. Then we apply our model to characterize the transmission process of Covid-19 in Nigeria. It was found that, in order to avoid its outbreak in Nigeria, it may be better to adhere to government policy to curtail the spread through person-to-person transmission and make effort to improve personal hygiene as well as early detection and reporting. Our results may provide some new insights for elimination of Covid-19.
Keywords: Infectious disease, coronavirus, dynamical model, stability