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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.
Cited literature [13 references]
https://hal.inria.fr/hal-00922831
Contributor : Abderrahman Iggidr <>
Submitted on : Monday, December 30, 2013 - 11:03:40 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM
Long-term archiving on: : Sunday, March 30, 2014 - 10:31:02 PM
Contributor : Abderrahman Iggidr <>
Submitted on : Monday, December 30, 2013 - 11:03:40 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM
Long-term archiving on: : Sunday, March 30, 2014 - 10:31:02 PM
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RR-8441.pdf
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