Pseudo almost periodic solutions and global exponential stability of a generalized population model with delays and harvesting term

被引:0
作者
Yifan Xing
Hong-Xu Li
机构
[1] Sichuan University,College of Mathematics
来源
Computational and Applied Mathematics | 2022年 / 41卷
关键词
Pseudo almost periodic solution; Logarithmic model; Gilpin–Ayala competitive model; Global exponential stability; 34K25; 34K14; 34K13; 34C27;
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摘要
In this paper, a generalized population model with delays and harvesting term is studied, which includes some well-known models, such as Gilpin–Ayala competitive model and Logarithmic model. By a suitable Lyapunov function and the Banach fixed point theorem, we obtain the existence and uniqueness of globally attractive pseudo almost periodic solution of the model and prove its permanence. Some examples and numerical simulations are given to illustrate the feasibility and usefulness of the model and results.
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