Stability analysis of within-host parasite models with delays |
| |
Authors: | Iggidr Abderrahman Mbang Joseph Sallet Gauthier |
| |
Institution: | 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 |
| |
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. |
| |
Keywords: | Nonlinear dynamical systems Parasite models Global stability Delays |
本文献已被 ScienceDirect PubMed 等数据库收录! |