摘要
对带频率依赖染病率的密度依赖型寄生虫-宿主模型进行了研究.首先,借助特征值理论,讨论了平衡态方程正常数平衡解的局部渐近稳定性.然后,利用局部分支理论,得出在(d■,(N~*,p~*))处可以产生局部分支,并且由全局分支理论可得该局部分支在一定条件下可以延拓成全局分支.
In this paper,the density-dependent parasite-host model with frequency-dependent morbidity is studied.First,the local asymptotic stability of the normal number equilibrium solution of the equilibrium equation is discussed by means of eigenvalue theory.Then,by the local bifurcation theory,it is concluded that a local bifurcation can be generated at(d1j,(N*,p*)),and the local bifurcation can be extended to a global branch under certain conditions by the global bifurcation theory.
作者
李鑫鑫
LI Xin-xin(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)》
2019年第2期8-13,共6页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金
国家自然科学基金(11361055
11761063)
关键词
平衡解
稳定性
局部分支
全局分支
equilibrium solution
stability
local bifurcation
global bifurcation