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

Author

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  • Ali Traoré
  • Fourtoua Victorien Konané

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 Rϕ for the model and the basic reproduction number R0 when the infection is timely diagnosed is performed.

Suggested Citation

  • Ali Traoré & Fourtoua Victorien Konané, 2025. "On the Dynamics of a SEIHR Model With Delays in Diagnosis and a Class of General Incidence Functions," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:8843842
    DOI: 10.1155/jom/8843842
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    References listed on IDEAS

    as
    1. Stanislas Ouaro & Ali Traoré, 2018. "On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination," International Journal of Differential Equations, Hindawi, vol. 2018, pages 1-11, March.
    2. Ndaïrou, Faïçal & Area, Iván & Nieto, Juan J. & Torres, Delfim F.M., 2020. "Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    3. VICTORIEN F. KONANE & Ali TRAORE, 2020. "Statistical Modeling and Forecast of the Corona-Virus Disease (Covid-19) in Burkina Faso," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(6), pages 1-76, November.
    4. Okuonghae, D. & Omame, A., 2020. "Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
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