Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms

Canadian Mathematical Bulletin - Tập 63 Số 2 - Trang 405-422 - 2020
Chuangxia Huang1, Xin Long1, Lihong Huang1, Si Fu2
1School of Mathematics and Statistics, Changsha University of Science and Technology, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha410114, Hunan, P R China Email:
2College of Mathematics and Information Science, Jiangxi Normal University, Jiangxi330022, Nanchang, P R China

Tóm tắt

AbstractTaking 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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Canadian Mathematical Bulletin

Tập 63 Số 2

405-422

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