Oscillation and stability in a simple genotype selection model
| Autor: | V. Lj. Kocic, R. Levins, G. Ladas, E. A. Grove |
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| Rok vydání: | 1994 |
| Předmět: | |
| Zdroj: | Quarterly of Applied Mathematics. 52:499-508 |
| ISSN: | 1552-4485 0033-569X |
| Popis: | We study the oscillation, the stability, and the global attractivity of the simple genotype selection model \[ y n + 1 = y n e β ( 1 − 2 y n − k ) 1 − y n + y n e β ( 1 − 2 y n − k ) , n = 0 , 1 , . . . , {y_{n + 1}} = \frac {{{y_n}{e^{\beta \left ( 1 - 2{y_{n - k}}\right )}}}}{{1 - {y_n} + {y_n}{e^{\beta \left (1 - 2{y_{n - k}} \right )}}}}, \qquad n = 0, 1,..., \] where β ∈ ( 0 , ∞ ) \beta \in \left ( 0, \infty \right ) and k ∈ { 0 , 1 , 2 , . . . } k \in \{ 0, 1, 2,...\} . |
| Databáze: | OpenAIRE |
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