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Periodic solutions of single-species models with periodic delay. (English) Zbl 0764.92016
The authors consider several single-species population growth models with time delays, where both the coefficients (net birth rate, reproduction rate and self-inhibition rate) and the delays are periodic functions. It is shown that if the self-inhibition rate is sufficiently large compared to the reproduction rate, then the model equation has a globally asymptotically stable positive periodic solution.

MSC:
92D25 Population dynamics (general)
34K20 Stability theory of functional-differential equations
92D40 Ecology
34K25 Asymptotic theory of functional-differential equations
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