Positive periodic solution for Nicholson-type delay systems with impulsive effects. (English) Zbl 1422.92138
Summary: In this paper, a class of Nicholson-type delay systems with impulsive effects is considered. First, an equivalence relation between the solution (or positive periodic solution) of a Nicholson-type delay system with impulsive effects and that of the corresponding Nicholson-type delay system without impulsive effects is established. Then, by applying the cone fixed point theorem, some criteria are established for the existence and uniqueness of positive periodic solutions of the given systems. Finally, an example and its simulation are provided to illustrate the main results. Our results extend and improve greatly some earlier works reported in the literature.
MSC:
| 92D25 | Population dynamics (general) |
| 34K20 | Stability theory of functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K11 | Oscillation theory of functional-differential equations |
Keywords:
Nicholson-type systems; positive periodic solutions; delay; impulsive effect; cone fixed point theoremReferences:
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