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Positive periodic solution for a neutral logarithmic population model with feedback control. (English) Zbl 1214.92059
Summary: A neutral delay logarithmic population model with feedback control is studied. By using the abstract continuous theorem of $k$-set contractive operators, some new results on the existence of positive periodic solutions are obtained. After that, by constructing a suitable Lyapunov functional, a set of easily applicable criteria is established for the global asymptotic stability of positive periodic solutions.
##### MSC:
 92D25 Population dynamics (general) 93B25 Algebraic theory of control systems 34C25 Periodic solutions of ODE 34D23 Global stability of ODE 34D05 Asymptotic stability of ODE
##### Keywords:
global asymptotically stability
##### References:
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