SEIR model simulation on the spreading of Ebola virus between two regions

Abstract

In this study, we formed one of epidemic models that describe the spread of Ebola virus disease between two regions in the mathematical model known as SEIR epidemic model. For constructing the mathematical model, it is necessary to understand the phenomenon of the spread of the Ebola virus such as that the number of infected populations in one region does not only depend on the number of infected individuals in one region but also by individuals traveling from one region to another. Based on this phenomenon, we constructed the SEIR mathematical model to determine the dynamics of the spreading virus. We computed the Basic Reproduction Number to determine the stability of the spreading virus. We applied the numerical simulation using the Runge-Kutta Order 4 method to illustrate the results obtained. The simulation results show that region B has a higher spread than region A, because the number virus transmission in region B is higher than that in region A based on the Basic Reproduction Numbers.