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A new method to investigate almost periodic solutions for an Nicholson’s blowflies model with time-varying delays and a linear harvesting term

1 Guizhou Key Laboratory of Economics System Simulation Guizhou University of Finance and Economics, Guiyang 550004, PR China
2 School of Mathematics and Physics, University of South China Hengyang 421001, PR China
3 School of Mathematics and Statistics, Henan University of Science and Technology Luoyang 471023, PR China
4 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology, Changsha 410114, PR China
5 School of Mathematics and Statistics, Central South University Changsha 410083, PR China

Special Issues: Mathematical Modeling to Solve the Problems in Life Sciences

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In this paper, a delayed Nicholson’s blowflies model with a linear harvesting term is investigated. By transforming the model into an equivalent integral equation, and applying a fixed point theorem inc ones, we establish a sufficient condition which ensure the existence of positive almost periodic solutions for the Nicholson’s blowflies model. The results of this paper are completely new and complement those of the previous studies. The approach is new.
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Citation: Changjin Xu , Maoxin Liao, Peiluan Li, Qimei Xiao, Shuai Yuan. A new method to investigate almost periodic solutions for an Nicholson’s blowflies model with time-varying delays and a linear harvesting term. Mathematical Biosciences and Engineering, 2019, 16(5): 3830-3840. doi: 10.3934/mbe.2019189

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• 1. Qian Cao, Guoqiu Wang, Dynamic analysis on a delayed nonlinear density-dependent mortality Nicholson's blowflies model, International Journal of Control, 2020, 1, 10.1080/00207179.2020.1725134
• 2. Feng Duan, Bo Du, Positive periodic solution for Nicholson’s blowfies systems with patch structure, Advances in Difference Equations, 2020, 2020, 1, 10.1186/s13662-020-02714-w Download full text in PDF Export Citation