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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2014; 51(3): 473-493

Printed May 1, 2014

https://doi.org/10.4134/JKMS.2014.51.3.473

Copyright © The Korean Mathematical Society.

Existence and global exponential stability of positive almost periodic solutions for a delayed Nicholson's blowflies model

Yanli Xu

Xiangnan College

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This paper concerns with a class of delayed Nicholson's blow\-flies model with a nonlinear density-dependent mortality term. Under appropriate conditions, we establish some criteria to ensure that the solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give some examples and numerical simulations to illustrate our main results.

Keywords: Nicholson's blowflies model, nonlinear density-dependent mortality, time-varying delay, positive almost periodic solution, global exponential stability

MSC numbers: 34C25, 34K13

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