摘要
讨论了一类具有限时滞含迁移的Prey-Predator系统平衡态的稳定性和Hopf分支,表明当系统的6个独立参数在一定范围内取值时,随着时滞的增加,系统平衡态的稳定性在一定范围内交替变化,而每一次平衡态稳定性的改变都相伴有Hopf分支发生.
The stability of equilibrium and Hopf bifurcation is discussed for the prey predator models incorporating spatial diffusion and time delays. It is proved that the stability of equilibrium alternatce changes followed the time delays increase, whin the certain range. Whemever the stability changes, the hopf bifurcation followed occurs.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第21期157-164,共8页
Mathematics in Practice and Theory
