Journal
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
Volume 63, Issue 2, Pages 405-422Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.4153/S0008439519000511
Keywords
Nicholson's blowflies model; patch structure; density-dependent mortality term; almost periodic solution; stability
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Funding
- National Natural Science Foundation of China [11971076, 11861037, 11771059, 51839002]
- Scientific Research Fund of Hunan Provincial Education Department [16C0036]
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Taking into account the effects of patch structure and nonlinear density-dependent mortality terms, we explore a class of almost periodic Nicholson's blowflies model in this paper. Employing the Lyapunov function method and differential inequality technique, some novel assertions are developed 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 recently published literatures. Particularly, an example and its numerical simulations are arranged to support the proposed approach.
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