Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term

By Chuangxia Huang, Hua Zhang, Lihong Huang. Communications on Pure and Applied Analysis, 2019

151 citations recorded by the source corpus.

This paper mainly investigates a class of almost periodic Nicholson's blowflies 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.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/b52c4faac58219838b906ad04c035896b5e20f31

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Citations in the corpus

Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms (2019, unknown): “Nowadays, the investigations of almost periodic dynamics systems have been the new world-wide focus (see [5,6, 10, 14, 16, 18]).”
Inequalities for generalized trigonometric and hyperbolic functions with one parameter (2020, background): “Recently, many remarkable results [4, 5, 6, 16, 18, 23, 29, 33, 34, 39, 40, 42, 43, 45, 47, 53, 63, 64, 66, 67, 71, 76, 80, 89] in mathematics, physics, mechanics, game theory, control and optimization theory and so on have been established via these functions.”