Stability analysis of within-host parasite models with delays.
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.
Iggidr
Abderrahman
A
INRIA-Lorraine and University Paul Verlaine-Metz LMAM-CNRS UMR 7122, ISGMP Bat. A, Ile du Saulcy 57045 Metz Cedex 01, France. iggidr@loria.fr
Mbang
Joseph
J
Sallet
Gauthier
G
D015658:HIV Infections / Q000821:virology; D015497:HIV-1 / Q000502:physiology; D006801:Humans; D007239:Infections / Q000382:microbiology* / Q000469:parasitology*; D008954:Models, Biological