Global exponential stability of positive periodic solutions for a delayed Nicholsonʼs blowflies model

This paper is concerned with a non-autonomous delayed Nicholsonʼs blowflies model. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions. This answers an open problem proposed by Berezansky et al. (2010) [2]. We also provide numerical simulations to support the theoretical result.