This work deals with the existence of almost periodic solutions in a
biological model, the model proposed by VG Nazarenko and E.E. Sel'kov of
stem cell dynamics. This article demonstrates the existence of almost
periodic solutions, for this purpose, the constant parameters of the
system were changed to almost periodic functions which allows greater
adaptability in biological cases such as this. This kind of changes have
already been raised in other biological systems. In this case we will
use the implicit function theorem to prove the existence of periodic
solutions.