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Pseudo almost periodic solutions and global exponential stability of a generalized population model with delays and harvesting term.
- Source :
- Computational & Applied Mathematics; Dec2022, Vol. 41 Issue 8, p1-22, 22p
- Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- EXPONENTIAL stability
HARVESTING
LYAPUNOV functions
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 01018205
- Volume :
- 41
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 160307258
- Full Text :
- https://doi.org/10.1007/s40314-022-02049-0