A study of stability of SEIHR model of infectious disease transmission

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 an...

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Bibliographic Details
Main Authors: Ouedraogo Harouna, Ouedraogo Dramane, Ibrango Idrissa, Guiro Aboudramane
Format: Article
Language:English
Published: De Gruyter 2021-12-01
Series:Nonautonomous Dynamical Systems
Subjects:
Online Access:https://doi.org/10.1515/msds-2020-0140
Description
Summary: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.
ISSN:2353-0626