Stability analysis of a compartmental SEIHRD model for the Ebola virus disease

In this work, we perform a stability analysis of a compartmental SEIHRD model. This model is a simplified version of a previous approach. In this previous work, we proposed an original deterministic spatial-temporal model, called Be-CoDiS (Between-Countries Disease Spread), to study the evolution of human diseases within and between countries. This model was validated by considering data from the 2014-16 West African Ebola Virus Disease epidemic. Here, considering some simplification assumptions in Be-CODIS, our goal is to study the equilibria of the model and their stability using the basic reproduction ratio as a threshold parameter. Finally, we validate the obtained results by considering some numerical experiments based on data from the 2014-16 West African Ebola Virus Disease epidemic.