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

Abstract

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 follows dN dt =N(t) a(t)−β(t)N(t)−∑ j=1 nb j(t)N(t−σ i(t))−∑ i=1 mc i(t)N ′(t−τ i(t)) . A new result on the existence of positive periodic solutions is obtained.