Almost periodic solution of the non-autonomous two-species competitive model with stage structure

Sufficient conditions are obtained for the existence of a unique, globally attractive, strictly positive (componentwise), almost periodic solution of a non-autonomous, almost periodic competitive two-species model with a stage structure in one species. An example together with its numeric simulations shows the feasibility of our main results. Our result generalizes the main results of Zeng et al. [G.Z. Zeng, L.S. Chen, L.H. Sun, Y. Liu, Permanence and the existence of the periodic solution of the non-autonomous two-species competitive model with stage structure, Adv. Complex Syst., 7 (3&4) (2004) 385-393]