Journal
NONLINEAR DYNAMICS
Volume 85, Issue 1, Pages 563-571Publisher
SPRINGER
DOI: 10.1007/s11071-016-2706-4
Keywords
Positive pseudo-almost periodic solution; Global exponential stability; Time-varying delay; Nicholson's blowflies model; Oscillating death rate
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Funding
- Natural Scientific Research Fund of Hunan Provincial of China [2016JJ6103, 2016JJ6104]
- Construction Program of the Key Discipline in Hunan University of Arts and Science-Applied Mathematics
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This paper is concerned with a non-autonomous Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive pseudo-almost periodic solution, which improves and extends some known relevant results. Moreover, an example along with its numerical simulations is presented to demonstrate the validity of the proposed result.
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