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Spatial Fleming-Viot Models with Selection and Mutation
This book constructs a rigorous framework for analysing selected phenomena in evolutionary theory of populations arising due to the combined effects of migration, selection and mutation in a spatial stochastic population model, namely the evolution towards fitter and fitter types through punctuated...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Lecture Notes in Mathematics,
2092 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Introduction
- Emergence and fixation in the F-W model with two types
- Formulation of the multitype and multiscale model
- Formulation of the main results in the general case
- A Basic Tool: Dual Representations
- Long-time behaviour: ergodicity and non-ergodicity
- Mean-field emergence and fixation of rare mutants (Phase 1,2)
- Methods and proofs for the F-W model with two types
- Emergence, fixation with M ≥ 2 lower order types
- Emergence, fixation: The general (M, M)-type mean-field model
- Neutral evolution on E1 after fixation (Phase 3)
- Re-equilibration on higher level E1 (Phase 4)
- Iteration of the cycle I: Emergence and fixation on E2
- Iteration of the cycle - the general multilevel hierarchy
- Winding-up: Proofs of the Theorems 3-11
- Appendix 1 - Tightness
- Appendix 2. Nonlinear semigroup perturbations
- References
- Index of Notation and Tables of Basic Objects
- Index.