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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用