Stability and bifurcation for a haematopoietic stem cell transplantation
model with HIV virus-to-cell infection
Abstract
In this paper, a class of hematopoietic stem cell transplantation model
with virus-to-cell HIV infection is proposed to characterize the
competitive exclusion and coexistence between the host CD4+T cells and
donor CD4+T cells. First, the positivity and boundedness of solutions as
well as the basic reproduction number R are obtained. Second, criteria
on the locally and globally asymptotical stability of all feasiable
equilibria are established. Furthermore, bifurcation analysis is
performed on the mixed chimerism infection equilibrium. Finally, the
theoretical results are illustrated by numerical simulation, we find
that chimerism is an important indicator of model stability, and AIDS
may be cured when chimerism reaches a certain threshold.