摘要
提出了一类具有不完全营养转换和脉冲效应的单食饵多捕食者系统.在该系统的Ivlev型功能反应项中,选取了不同的捕食者营养吸收率与消耗食饵的转化率.在周期性投放捕食者的脉冲效应下,分析了系统的灭绝和持续生存,并利用Floquet乘子理论和比较定理,给出了食饵根除周期解渐近稳定与系统持续生存的条件.最后,通过数值模拟验证了所得结论.
A new one-prey multi-predator system with impulsive effect and incomplete trophic transfer was proposed.This system used a different rate of trophic absorption of predators from the rate of the conversion of consumed prey to predator in Ivlev-type functional responses.The extinction and permanence of the system with impulsive perturbation on the predators at fixed moments was investigated.And the conditions for asymptotically stable and permanence of the system was given by using Floquet theory and comparison theorem.Finally,numerical simulations demonstrated the obtained conclusions.
作者
程娴
闫萍
刘利平
张长勤
CHENG Xian;YAN Ping;LIU Liping;ZHANG Changqin(School of Science,Anhui Agricultural University,Hefei 230026,China;Institute of Mathematical Sciences,Lakehead University,Thunder Bay P7B 5E1,Canada)
基金
Supported by the NNSF of China(11201002)
Natural Science Research Projects in Anhui Universities(KJ2019A0215)
