The oscillatory and asymptotic behaviour of the positive solutions of the autonomous neutral delay logistic equation
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS001708950000834X/resource/name/S001708950000834X_eqn1.gif?pub-status=live)
with r, c, T, K ∈ (0, ∞) has been recently investigated in [2]. More recently the dynamics of the periodic delay logistic equation
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS001708950000834X/resource/name/S001708950000834X_eqn2.gif?pub-status=live)
in which r, K are periodic functions of period τ and m is a positive integer is considered in [6]. The purpose of the following analysis is to obtain sufficient conditions for the existence and linear asymptotic stability of a positive periodic solution of a periodic neutral delay logistic equation
![](//static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS001708950000834X/resource/name/S001708950000834X_eqn3.gif?pub-status=live)
in which Ṅ denotes
and r, K, c are positive continuous periodic functions of period τ at and m is a positive integer. For the origin and biological relevance of (1.3) we refer to [2].