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 R 0 for the systems under consideration. If R 0 ⩽ 1 the parasite is cleared, if R 0 > 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 R 0 > 1 . These results make possible to revisit some parasitic models including intracellular delays and to study their global stability.