Global asymptotic stability of an almost periodic nonlinear ecological model

✍ Scribed by Yong-Hui Xia

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 1016 KB
• Volume: 16
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2011.03.041

✦ Synopsis

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.