Multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses

作者：Dai, Binxiang^*; Li, Ying; Luo, Zhenguo

来源：Applied Mathematics and Computation, 2011, 217(18): 7478-7487.

DOI：10.1016/j.amc.2011.02.049

• Ratio-dependent
• Impulsive predator-prey system
• Non-monotonic functional response
• Multiple periodic solutions
• Continuation theorem

This paper investigates the existence of multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses and time delays. Some sufficient conditions are derived by using the continuation theorem of coincidence degree theory and analysis technique. As corollaries, some applications are listed. In particular, the presented criteria improve and extend many previous results in the literature.

• 出版日期2011-5-15
• 单位中南大学