摘要
对一类具有时滞的和食饵带毒素的植物-食草动物系统进行了研究,改进了传统的Holling-Ⅱ型功能性反应,通过加入毒素对食草动物成长的影响,分析了消耗的植物量转换成新的动物量的时间滞后性,得到系统的平衡点及内部平衡点的存在性,最后讨论得到了平衡点的稳定性.
In this paper,we have studied a plant-herbivore model with delay and toxin-determined functional response.We have modified the traditional Holling type 2 response by taking into the analysis of the negative effect of toxin on herbivore growth.And then,the delay about the conversion of consumed plant biomass into new herbivore biomass has been analyzed.Finally,we obtained the stability of the positive equilibrium point.
出处
《湖北民族学院学报（自然科学版）》
CAS
2010年第1期41-45,共5页
Journal of Hubei Minzu University(Natural Science Edition)
关键词
时滞
毒素
稳定性
delay
toxin
stability
