Title of article
Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period
Author/Authors
allah, Abdelali Raji Department of Mathematics - Faculty of Sciences - Chouaib Doukkali University B. P. 20, 24000, El Jadida, Morocco , Talibi Alaoui, Hamad Department of Mathematics - Faculty of Sciences - Chouaib Doukkali University B. P. 20, 24000, El Jadida, Morocco
Pages
18
From page
83
To page
100
Abstract
In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using comparison arguments. In contrast, if R0 > 1, we see that the disease-free equilibrium is unstable and the endemic equilibrium is permanent and locally asymptotically stable and we give sufficient conditions for the global asymptotic stability of the endemic equilibrium
Keywords
SIR epidemic model , Infectious period , Characteristic equation , Comparison arguments , Permanence , Global stability , Beddington-DeAngelis incidence
Journal title
International Journal of Mathematical Modelling and Computations
Serial Year
2019
Record number
2521843
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