Interacting Locally Regulated Diffusions

Name: Interacting Locally Regulated Diffusions
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 9783836485333
Price: 51.03 EUR
Availability: InStock

How Migration Helps to Survive Competition

Автор: Martin Hutzenthaler

Език:

Корици: С меки корици

Издател: VDM Verlag Dr. Mueller E.K.

Наличност: Налично при издателя, по поръчка

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In naturally reproducing populations one usually encounters an §average number of more than one offs...

Информация за книгата

Автор

Martin Hutzenthaler

Език

Английски език

Корици

Книга - С меки корици

Издадена

2008

страници

EAN

9783836485333

ISBN

3836485338

Enbook ID

06963361

Издател

VDM Verlag Dr. Mueller E.K.

Теглоt

141

Размери

152 x 229 x 5

Пълно описание

In naturally reproducing populations one usually encounters an §average 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 mechanism, 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 §population models with competition ore more generally in §population dynamics.

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Interacting Locally Regulated Diffusions

How Migration Helps to Survive Competition

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