Almost periodic solutions for seasonal cooperative systems

Abstract

We present a criterion for the existence of a stable almost periodic solution for a cooperative almost periodic system. We also give conditions under which there is global stability of this almost periodic solution in a certain domain. We apply our results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis–Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.