Positive periodic solution for a neutral Logarithmic population model with feedback control

In this paper, a neutral delay Logarithmic population model with feedback control is studied. By using the abstract continuous theorem of k‐set contractive operator, some new results on the existence of the positive periodic solution are obtained; after that, by constructing a suitable Lyapunov functional, a set of easily applicable criteria is established for the global asymptotically stability of the positive periodic solution.