Abstract
AbstractWe 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 0is acquired, when 0≤ 1, the disease dies out and persists in the community whenever 0> 1. From numerical simulation, we illustrate our theoretical analysis.
Highlights
Infectious diseases are a public health problem for populations around the world
We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model
They study the impact of quarantine on the dynamics of infectious disease transmission (this method is extensively applied to the outbreak of Corona Virus Diseases 2019 (COVID-19))
Summary
Infectious diseases are a public health problem for populations around the world. For a better understanding of the dynamics of these infectious diseases, several tools are used among which we have the mathematical modeling [3]. We have two types of transmission in terms of infectious diseases. We are interested in the study of a continuous model of a vertically transmitted disease, a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In [12, 21, 22], the authors formulated and studied mathematical models giving the dynamics of the transmission of infectious diseases. They study the impact of quarantine on the dynamics of infectious disease transmission (this method is extensively applied to the outbreak of Corona Virus Diseases 2019 (COVID-19))
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