期刊论文

Huang, Chuangxia;Huang, Lihong

英文

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES

0008-4395

2020

63

2

405-422

10.4153/S0008439519000511

Received by the editors May 26, 2019; revised August 23, 2019. Published online on Cambridge Core December 23, 2019. his work was supported by the National Natural Science Foundation of China (Nos. 11971076, 11861037, 11771059, 51839002), the Scientific Research Fund of Hunan Provincial Education Department (No. 16C0036). Chuangxia Huang and Lihong Huang are the corresponding authors. AMS subject classification: 34C25, 34K13. Keywords: Nicholson’s blowflies model, patch structure, density-dependent mortality term, almost periodic solution, stability.

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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...