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Interacting Locally Regulated Diffusions
How Migration Helps to Survive Competition
Martin Hutzenthaler
Livre broché | Anglais
48,45 €
+ 96 points
Description
In naturally reproducing populations one usually encounters an aver-age number of more than one offspring per individual. However, given non-extinction, classical super-critical branching processes grow beyond all bounds. This is unrealistic because of bounded resources. We consider a model for a population with subpopulations living in separated regions and with migration between the regions. In addition to the births and deaths in a super-critical branching mecha-nism, there are deaths resulting from competition between any two individuals in one subpopulation. We prove that there is exactly one attractive equilibrium distribution and that the system starting in any nontrivial initial measure converges to this equilibrium distribution. The interpretation of this result is that the population stabilizes in the equilibrium state after some time whenever external events such as natural catastrophes decimate the population. Furthermore, we establish a criterion on the parameters for local extinction of the population. This book is written for mathematicians who are interested in popu-lation models with competition ore more generally in population dynamics.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 96
- Langue:
- Anglais
Caractéristiques
- EAN:
- 9783836485333
- Date de parution :
- 03-04-08
- Format:
- Livre broché
- Format numérique:
- Trade paperback (VS)
- Dimensions :
- 152 mm x 229 mm
- Poids :
- 140 g
