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Stability analysis of within-host parasite models with delays
Abderrahman Iggidr1, Joseph Mbang, Gauthier Sallet
1INRIA-Lorraine and University Paul Verlaine-Metz LMAM-CNRS UMR 7122, ISGMP Bat. A, Ile du Saulcy 57045 Metz Cedex 01, France. iggidr@loria.fr
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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