A GENERALIZED SEIR MATHEMATICAL MODEL WITH INFECTIVITY IN EXPOSED PERIOD

A. O. SANGOTOLA, A. A. ONIFADE

Abstract


In this paper, an SEIR model is presented with infectivity in exposed period. Positivity and the boundedness of solutions are established. We also determined the conditions of existence and stability for the disease-free and endemic equilibria. A threshold parameter R0 exists and the disease can persist if and only if R0 exceeds 1. Local and global stabilities of the
disease free and endemic equilibria were also determined using suitable Lyapunov function. Numerical simulation of the model is also carried out to illustrate the dynamics of the model.

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