周期性果蝇模型解的整体稳定性

Global Attractivity in a Periodic Nicholson's Blowflies Model

研究了系数和时滞项为周期函数的果蝇模型,得到了周期解整体稳定的两个充分条件.同时,得到了蜕化情况下周期解整体稳定的一个充分条件.

This paper is concerned with a class of generalized Nicholson＇s blowflies model of which coefficients and delays are periodic functions. Two sufficient global stability conditions for this model are given. In the degenerate case, i.e, the coefficients and delays are all constants, a sufficient global stability condition for the positive equilibrium is also obtained.