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Zbl 1214.92059
Wang, Rui; Zhang, Xiaosheng
Positive periodic solution for a neutral logarithmic population model with feedback control. (English)
[J] Appl. Math. Comput. 217, No. 19, 7692-7702 (2011). ISSN 0096-3003

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 2000:
*92D25 Population dynamics
93B25 Algebraic theory of control systems
34C25 Periodic solutions of ODE
34D23 Global stability
34D05 Asymptotic stability of ODE

Keywords: global asymptotically stability

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