摘要
研究一类具有时滞和Holling Ⅲ型功能性反应的捕食模型的稳定性和Hopf分支.以滞量为参数,得到了系统正平衡点的稳定性和Hopf分支存在的充分条件,给出了确定Hopf分支方向和分支周期解的稳定性的计算公式.
A predator-prey model with time delay and Holling type-III functional response is investigated. By choosing time delay as the bifurcation parameter and analyzing the associated characteristic equation of the linearized system, the linear stability of the system is investigated and Hopf bifurcations are established. In particular, the formulae determining the direction of bifurcations and the stability of bifurcating periodic solutions are given by using the normal form theory and center manifold theorem.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第24期173-179,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金资助项目(10671209)
