摘要
讨论了一类具有恐惧因子和捕食收获率的捕食者-食饵模型.首先讨论了解的一致有界性;其次应用线性化方法讨论了系统平衡点的存在性及其存在时的稳定性,得到了边界平衡点和正平衡点的局部稳定性;最后利用Poincare-Andronov-Hopf分支定理讨论了Hopf分支的存在性.
A predator-prey model with fear factor and predator harvesting rates was discussed in this paper.Firstly,the consistent and boundedness was discussed.Secondly,the existence and stability of the system equilibrium point were discussed by linearization method,thus the local stability of boundary equilibrium point and positive equilibrium point were obtained.Finally,the existence of Hopf bifurcation was discussed by using Poincare-Andronov-Hopf bifurcation theorems.
作者
王静
WANG Jing(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《兰州文理学院学报（自然科学版）》
2020年第2期5-7,38,共4页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金
国家自然科学基金(11361055、11761063)。
