Stability analysis of within-host parasite models with delays.
Identifieur interne : 000153 ( PubMed/Corpus ); précédent : 000152; suivant : 000154Stability analysis of within-host parasite models with delays.
Auteurs : Abderrahman Iggidr ; Joseph Mbang ; Gauthier SalletSource :
- Mathematical biosciences [ 0025-5564 ] ; 2007.
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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<front><div type="abstract" xml:lang="en">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.</div>
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<Abstract><AbstractText>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.</AbstractText>
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