一类具有时滞的单种群模型Hopf分支周期解

Hopf-bifurcation in a class model of single-spices with discrete delays

用周期函数正交性的方法,研究了一类具有离散时滞的单种群模型Hopf分支周期解问题,给出了在τ0附近分支周期解存在的充分条件,并利用解的正交性条件,得出了其近似周期解的表达式.

The Hopfbifurcation in a class model of singlespecies with discrete delay is investigated, and the sufficient condition for the existence of bifurcation periodic solution is derived, and by using the solvability conditions, the form of the approximate periodic solution is obtained.