Mc. Mackey et R. Rudnicki, A new criterion for the global stability of simultaneous cell replication and maturation processes, J MATH BIOL, 38(3), 1999, pp. 195-219
We analyze a population model of cells that are capable of simultaneous and
independent proliferation and maturation. This model is described by a fir
st order partial differential equation with a time delay and a retardation
of the maturation variable, both due to cell replication. We provide a gene
ral criterion for global stability in such equations.