This paper is a study of the SEIR mathematical epidemic model using homogeneous transmission function. We worked over the rate of treatment on infected and susceptible individuals to boost the recovery among them. The endemic equilibrium and disease free equilibrium are calculated with certain conditions for their existence. Stability of these points are tested based on available treatment situation. Analytical results are illustrated using numerical values.
Keywords and Phrases
Epidemic model, Routh - Herwitz criterion, Lyapunov function, Dulac’s criterion, Stability.
A.M.S. subject classiﬁcation
92D30, 93D05, 34D23.