A study of stability of SEIHR model of infectious disease transmission

Abstract

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 𝒭0 is acquired, when 𝒭0 ≤ 1, the disease dies out and persists in the community whenever 𝒭0 > 1. From numerical simulation, we illustrate our theoretical analysis.

Keywords

• compartmental modeling
• recruitment
• infectious disease
• reproduction number
• equilibria
• stability analysis
• numerical simulation
• 34e05
• 34d05
• 65l20