Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 18, Issue 6, Pages 3337-3349Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2019150
Keywords
Nicholson's blowflies model; density-dependent mortality term; almost periodic solution; stability
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Funding
- National Natural Science Foundation of China [71471020, 11771059, 51839002]
- Hunan Provincial Natural Science Foundation of China [2016JJ1001]
- Scientific Research Fund of Hunan Provincial Education Department [15A003, 16C0036]
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This paper mainly investigates a class of almost periodic Nicholson's blowfl(i)es model involving a nonlinear density-dependent mortality term and time-varying delays. Combining Lyapunov function method and differential inequality approach, some novel assertions are established to guarantee the existence and exponential stability of positive almost periodic solutions for the addressed model, which generalize and refine the corresponding results in some recent published literatures. Particularly, an example and its numerical simulations are given to support the proposed approach.
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