On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions

The susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the delay in diagnosis on the spread of the disease are studied. A comparative study between the delay‐induced basic reproduction number for the model and the basic reproduction number when the infection is timely diagnosed is performed.

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Publication Details

Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/8843842
Primary Topic
COVID-19 epidemiological studies
Type
article
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article

On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions

Ali Traoré, Victorien Konané
Journal of Mathematics
COVID-19 epidemiological studies
article

On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions

Ali Traoré, Victorien Konané
article en

Abstract

The susceptible, exposed, infectious, hospitalized, and recovered (SEIHR) model with delays in diagnosis is investigated. A class of general incidence functions is considered. The threshold for the model is determined, and the stabilities of the equilibrium points are examined. The effects of the delay in diagnosis on the spread of the disease are studied. A comparative study between the delay‐induced basic reproduction number for the model and the basic reproduction number when the infection is timely diagnosed is performed.

Journal of MathematicsVol. 2025(1)
Université Joseph Ki-Zerbo (BF), Université Ouaga II (BF)
Openalex Percentile: Top 78%
COVID-19 epidemiological studies
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