Global stability of a SI epidemic model with two infected stages and mass-action incidence
type: Dataset
description: 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.
landing page: https://inria.hal.science/hal-00922831
identifier: Report N°: RR-8441
keyword: global-asymptotic-stability
keyword: infoeu-reposemanticsreport
keyword: lyapunov-methods
keyword: mathmath-dsmathematics-mathdynamical-systems-mathds
keyword: nonlinear-dynamical-systems
keyword: poincarre-bendixson-theorem
keyword: reports
keyword: sdvspeelife-sciences-q-biosante-publique-et-epidemiologie
issued: 2026-05-07T16:36:11.658194
modified: 2026-05-07T16:36:11.658199
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Global stability of a SI epidemic model with two infected stages and mass-action incidence
type: Distribution
format: HTML
access URL: https://inria.hal.science/hal-00922831
issued: 2026-05-07T16:36:11.659653
modified: 2026-05-07T16:36:11.648598