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

Abstract

In this paper, the authors employ an abstract continuous theorem of k-set contractive operator to study the existence of positive periodic solutions for a neutral delay logarithmic population model with multiple delays as follows: dN dt =N(t) r(t)− ∑ j=1 n a i(t) ln N(t−σ i(t))− ∑ i=1 m b j(t) d dt ln N(t−τ j(t)) . A new result on the existence of positive periodic solutions is obtained.