We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number R0 is acquired, when R0 ≤ 1, the disease dies out and persists in the community whenever R0 1. From numerical simulation, we illustrate our theoretical analysis.

Compartmental modeling, recruitment, infectious disease, reproduction number, equilibria, stability analysis, numerical simulation