重庆理工大学学报（自然科学版）2018，Vol.32Issue(1)：205-211,7.DOI:10.3969/j.issn.1674-8425(z).2018.01.029
气味干扰下带有避难所的食饵捕食者模型分析
Analysis of Model in a Predator-Prey System with Refuge Under the Impact of Odor
摘要
Abstract
The impacts of odor by predator on the prey-predator model with prey refuge are explored, in order to study how the refuge of prey affect the prey-predator model with the odor by predator, whilst the dynamic behaviors of model is investigated.Using the Dulac-Bendixson theorem,we proved the global stability of the equilibrium.We found that if the odor by predator is a constant,it can control the number of prey and predator effectively,and adding the refuge for prey is good for the multiply of predator,and it can avoid the bad effect on predator-prey system caused by the prey extinction,and also have a certain guiding role for the establishment of ecological nature protection area.关键词
避难所/气味/食饵-捕食者模型/平衡点/稳定性Key words
refuge/odor/prey-predator model/equilibrium point/stability分类
数理科学引用本文复制引用
申佩娴,薛亚奎..气味干扰下带有避难所的食饵捕食者模型分析[J].重庆理工大学学报（自然科学版）,2018,32(1):205-211,7.基金项目
国家自然科学基金资助项目(11602232) （11602232）
山西省自然科学基金资助项目(2015011009) （2015011009）
