The dynamics of Predator-prey system with timing of plus on integrated pest control

摘要：

In this paper, the predator-prey system with different frequencies of natural enemies releases and pesticide sprays is investigated. With releasing natural enemies either more or less frequent than sprays, a globally asymptotically stable threshold condition for pest-free periodic solution is provided by Floquet theory and comparison theorem. The numerical results show how the threshold is affected by the fact including instantaneous killing rates of pesticides on pests and natural enemies, the releasing rate of natural enemies and release constant.

关键词： Predator-prey model Threshold condition Globally asymptotically stable

作者: Changtong Li Xiaozhou Feng Fei Dai

作者单位: Department of Math. and Phys., Xian Technological University, Xian, Shaanxi 710062, P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 164-170

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）