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Journal Articles Mathematical Biosciences Year : 2007

Stability analysis of within-host parasite models with delays.

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.
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Dates and versions

inria-00552051 , version 1 (05-01-2011)

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Abderrahman Iggidr, Joseph Mbang, Gauthier Sallet. Stability analysis of within-host parasite models with delays.. Mathematical Biosciences, 2007, 209 (1), pp.51-75. ⟨10.1016/j.mbs.2007.01.008⟩. ⟨inria-00552051⟩
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