Existence of positive periodic solutions for neutral population model with multiple delays

摘要

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 population model with multiple delays as followsdNdt=N(t)a(t)−β(t)N(t)−∑j=1nbj(t)N(t−σi(t))−∑i=1mci(t)N′(t−τi(t)).A new result on the existence of positive periodic solutions is obtained.