Existence and asymptotic behavior results of positive periodic solutions for discrete-time logistic model. (English) Zbl 1422.39009
Summary: A discrete-time logistic model with delay is studied. The existence of a positive periodic solution for a discrete-time logistic model is obtained by a continuation theorem of coincidence degree theory, and a sufficient condition is given to guarantee the global exponential stability of a periodic solution. Finally, an example is given to show the effectiveness of the results in this paper.
MSC:
| 39A10 | Additive difference equations |
| 39A12 | Discrete version of topics in analysis |
| 92D25 | Population dynamics (general) |
| 39A30 | Stability theory for difference equations |
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