1. A Slow Single-Species Model with Non-Symmetric Variation of the Coefficients.
- Author
-
Alharbi, Fahad M.
- Subjects
COMPUTER simulation ,ELECTROMECHANICAL analogies ,MATHEMATICAL models ,SIMULATION methods & models ,COEFFICIENTS (Statistics) - Abstract
A single-species population model exhibiting a symmetric slow variation for the carrying capacity and intrinsic growth rate is evaluated explicitly. However, it is unrealistic to eliminate the possibility of a clear separation in the evolution of the biotic environmental elements; thus, this paper considers the situation where these elements have a hierarchical variation on the time scales. Accordingly, two particular situations are recognized, which are the carrying capacity varies faster than the growth rate and vice versa. Applying the multi-time scaling technique in such a system provides a small parameter, which leads us to construct analytical approximate expressions for the population behavior, using the perturbation approach. Such approximations display very good agreement with the numerical simulations. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF