Global asymptotic stability of an almost periodic nonlinear ecological model

An almost periodic nonlinear predator–prey system with N prey species and M predator species is revisited in this paper. A set of essentially new criteria are obtained for the existence and global asymptotic stability of a unique positive almost periodic solution. The obtained results provide an answer to an open problem arising in a recent paper. Not only an important restriction of their theorem is removed, but also some other conditions are weakened in this paper. Moreover, a mistake in their assumption is corrected. By applying the obtained results to some special predator–prey systems and competitive systems, many earlier results are significantly improved. Finally, several illustrative examples and their simulations are provided to show the effectiveness of the obtained results.