Global stability of a SI epidemic model with two infected stages and mass-action incidence - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2013

Global stability of a SI epidemic model with two infected stages and mass-action incidence

Abstract

The work done in this paper consists in the establishment of the global stability of the model SI containing two classes of infected stages. The incidence used is non-linear and given by $(\beta_1 I_1+\beta_2 I_2)\dfrac{S}{N}$.\\ Existence and uniqueness of the endemic equilibrium is established. A Lyapunov function is used to prove the stability of the disease free equilibrium, and the Poincarré-Bendixson theorem allows to prove the global asymptotic stability of the endemic equilibrium when it exists.
Fichier principal
Vignette du fichier
RR-8441.pdf (498.45 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00922831 , version 1 (30-12-2013)

Identifiers

  • HAL Id : hal-00922831 , version 1

Cite

Mamadou Lamine Diouf, Abderrahman Iggidr, Mamadou Sy. Global stability of a SI epidemic model with two infected stages and mass-action incidence. [Research Report] RR-8441, INRIA. 2013, pp.13. ⟨hal-00922831⟩
607 View
320 Download

Share

Gmail Facebook Twitter LinkedIn More