Stability analysis of within-host parasite models with delays.
Identifieur interne : 004A82 ( Main/Curation ); précédent : 004A81; suivant : 004A83Stability analysis of within-host parasite models with delays.
Auteurs : Abderrahman Iggidr [France] ; Joseph Mbang ; Gauthier SalletSource :
- Mathematical biosciences [ 0025-5564 ] ; 2007.
Descripteurs français
- KwdFr :
- MESH :
- microbiologie : Infection.
- parasitologie : Infection.
- physiologie : VIH-1 (Virus de l'Immunodéficience Humaine de type 1).
- virologie : Infections à VIH.
- Humains, Modèles biologiques.
English descriptors
- KwdEn :
- MESH :
- microbiology : Infection.
- parasitology : Infection.
- physiology : HIV-1.
- virology : HIV Infections.
- Humans, Models, Biological.
Abstract
We provide a global analysis of systems of within-host parasitic infections. The systems studied have parallel classes of different length of latently infected target cells. These systems can also be thought as systems arising from within-host parasitic systems with distributed continuous delays. We compute the basic reproduction ratio R0 for the systems under consideration. If R0< or =1 the parasite is cleared, if R0>1 and if a sufficient condition is satisfied we conclude to the global asymptotic stability (GAS) of the endemic equilibrium. For some generic class of models this condition reduces to R0>1. These results make possible to revisit some parasitic models including intracellular delays and to study their global stability.
DOI: 10.1016/j.mbs.2007.01.008
PubMed: 17383688
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pubmed:17383688Le document en format XML
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A, Ile du Saulcy 57045 Metz Cedex 01, France. iggidr@loria.fr</nlm:affiliation><country xml:lang="fr">France</country><wicri:regionArea>INRIA-Lorraine and University Paul Verlaine-Metz LMAM-CNRS UMR 7122, ISGMP Bat. 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The systems studied have parallel classes of different length of latently infected target cells. These systems can also be thought as systems arising from within-host parasitic systems with distributed continuous delays. We compute the basic reproduction ratio R0 for the systems under consideration. If R0< or =1 the parasite is cleared, if R0>1 and if a sufficient condition is satisfied we conclude to the global asymptotic stability (GAS) of the endemic equilibrium. For some generic class of models this condition reduces to R0>1. These results make possible to revisit some parasitic models including intracellular delays and to study their global stability.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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