中立型对数种群模型的正周期解存在性

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL DELAY LOGARITHMIC POPULATION MODEL

本文利用k-集压缩算子的拓朴度抽象连续定理和某些分析技巧,研究了一类中立型对数种群模型dN/dt=N(t)[r(t)-a(t)lnN(t-σ)-b(t)d/dtlnN(t-r)]的正周期解存在性问题。得到了正周期解存在性的新结果。

In this paper, the authors employ an abstract continuous theorem of k-set contractive operator and some analysis techniques to study the existence of positive periodic solutions for a neutral delay logarithmic population model as follows.dN/dt = N（t）[r（t）-a（t）lnN（t-σ）-b（t）d/dtlnN（t-r）]. A new result on the existence of positive periodic solutions is obtained.