Open AccessA new method to investigate almost periodic solutions for an Nicholson’s blowflies model with time-varying delays and a linear harvesting term
Author(s) -
Chang Jin Xu,
Mao Xin Liao,
Pei Luan Li,
Qi Xiao,
Shu Ai Yuan
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019189
Subject(s) - mathematics , complement (music) , term (time) , fixed point theorem , mathematical analysis , physics , biochemistry , chemistry , phenotype , quantum mechanics , complementation , gene
In this paper, a delayed Nicholson's blowflies model with a linear harvesting term is investigated. By transforming the model into an equivalent integral equation, and applying a fixed point theorem inc ones, we establish a sufficient condition which ensure the existence of positive almost periodic solutions for the Nicholson's blowflies model. The results of this paper are completely new and complement those of the previous studies. The approach is new.