A Mathematical Model for Analyzing the Behavior of COVID-19 in Dominican Republic
Dilone, M. A *
Institute of Mathematics, Autonomous University of Santo Domingo, UASD, Dominican Republic.
Gomez, D. R
Department of Epidemiology, Ministry of Health of the Dominican Republic, Dominican Republic.
Gutierrez, J. M
Department of Mathematics and Computer Science, University of La Rioja, Spain.
Sosa, P.
Institute of Mathematics, Autonomous University of Santo Domingo, UASD, Dominican Republic.
*Author to whom correspondence should be addressed.
Abstract
In this paper a mathematical model is constructed and theoretically examined to analyze the transmission mechanism of COVID-19 in the Dominican Republic. The mathematical model is represented by 8 states, called SEPaIATRISV. The main mathematical properties of the model have been proved, such as the non-negativity of the solutions, as well as the existence and uniqueness of the solution. In addition, the equilibrium points were determined as well as the control number Rc and the basic reproduction number, R0. Finally, the sensitivity analysis and numerical simulations of the model were performed.
Keywords: Mathematical model, control number, critical points, uniqueness, existence, sensitivity