On the existence of periodic solutions of a neutral delay model of single-species Population growth

Abstract In this paper, we employ some new techniques to study the existence of positive periodic solutions of the neutral delay model N′ t = N t a t − β t N t − b t N t − τ t − c t N ′ t − τ t . Our result gives a correct answer to the open problem 9.2 due to Y. Kuang (1993, “Delay Differential Equations with Applications in Population Dynamics,” Academic Press, New York).