Analysis of a planar differential system arising from hematology

Abstract

A complete analysis of a planar dynamic system arising from
hematology is provided to confirm the conclusions of computer
simulations. Existence and uniqueness for the Cauchy problem,
boundedness of solutions and their asymptotic behavior to infinity
are established. Particularly, the global asymptotic stability of a
steady state is proved in each of the following cases related to
leukemia: normal, chronic and accelerated-acute.