Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period
Publish Year: 1398
Type: Journal paper
Language: English
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Document National Code:
JR_IJMAC-9-2_001
Index date: 17 January 2023
Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period 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.
Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period Keywords:
Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period authors
Abdelali Raji_allah
Department of Mathematics , Faculty of Sciences, Chouaib Doukkali University B. P. ۲۰, ۲۴۰۰۰, El Jadida, Morocco
Hamad Talibi Alaoui
Department of Mathematics , Faculty of Sciences, Chouaib Doukkali University B. P. ۲۰, ۲۴۰۰۰, El Jadida, Morocco