Global asymptotic stability of an SIS epidemic model with variable population size and a delay

Karkri, Jaafar El; Niri, Khadija

doi:10.1504/ijdsde.2017.087496

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2023

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Cited by 2 publications

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“…The calibration of the equation with the clinical data (see Table 1) for the case of linear ψ, linear Φ as in (8) 2c 2 )) we get…”

Section: Numerical Applicationmentioning

confidence: 99%

See 1 more Smart Citation

Stability Analysis of a Viral Immune Response Model Involving Two Time Delays

Boudchich,

El Karkri,

Aboulaich

et al. 2023

Int. J. of Appl. Math.

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We study the qualitative behaviour of the homogeneous in space solution of a two delays differential equation arising from an immune response mathematical model. We use the monotone dynamical systems framework. First, existence and smoothness of solutions are investigated. Then, sufficient conditions of the free-infection and the endemic equilibriums asymptotic stability are derived for different types of the function representing the efficiency of immune response-mediated virus elimination. Then, we use clinical data to calibrate the differential equation and illustrate the analytical results by numerical simulation with the obtained parameters values.

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“…The calibration of the equation with the clinical data (see Table 1) for the case of linear ψ, linear Φ as in (8) 2c 2 )) we get…”

Section: Numerical Applicationmentioning

confidence: 99%

“…Then widely used by variours authors like Hirsh, Matano or H.L Smith (for more details we refer to [12,23,34,35]). El Karkri and Niri [7,8] employed this aproach to inestigate stability of endemic equilibrium of an epidemiological model.…”

Section: Introductionmentioning

confidence: 99%