摘要
考虑一类具偏食习惯的捕食者与被捕食者模型．利用中心流形定理和 Hopf分支理论讨论并证明了该系统在一定条件下产生Hopf分支，得到中心流形、小振幅空间周期解的渐近表达式，同时给出了周期解稳定性判据．
A class of ecology models in predator-prey systems is considered. The bifurcationphenomena are discussed by using Hopf bifurcation and Center manifold theorems. Hopf bifurcation can occur in some values of parameters. The asymptotic formulas fot the center manifoldand the periodic solution with small amplitude have been given. The stable criterion of the periodic solution has also been obtained.
出处
《数学物理学报（A辑）》
CSCD
北大核心
1998年第1期70-77,共8页
Acta Mathematica Scientia
