The selection mutation equation |
| |
Authors: | Josef Hofbauer |
| |
Institution: | (1) Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria;(2) Present address: Department of Mathematics, Northwestern University, 60201 Evanston, IL, USA |
| |
Abstract: | Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates
ij=ii.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible. |
| |
Keywords: | Fundamental theorem Maximum principle Shahshahani gradients Limit cycles |
本文献已被 SpringerLink 等数据库收录! |
|