Global asymptotic stability of an almost periodic nonlinear ecological model

作者：Xia Yong Hui^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(11): 4451-4478.

DOI：10.1016/j.cnsns.2011.03.041

• Predator-prey system
• Lyapunov function
• Almost periodic solutions
• Global asymptotic stability

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.

• 出版日期2011-11
• 单位浙江师范大学