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Positive almost periodic solution for a class of Nicholson’s blowflies model with multiple time-varying delays. (English) Zbl 1207.92042

Summary: We study the existence and exponential convergence of positive almost periodic solutions for a generalized A. J. Nicholson’s [Aust. J. Zool. 2, 9–65 (1954)] blowflies model with multiple time-varying delays. Under proper conditions, we establish some criteria to ensure that the solutions of this model converge locally exponentially to a positive almost periodic solution. Moreover, we give some examples to illustrate our main results.

MSC:

92D40 Ecology
34K13 Periodic solutions to functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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