Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection

Ryabov, A. B., and Blasius, B.. "Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection." Mathematical Modelling of Natural Phenomena 3.3 (2008): 42-86. <http://eudml.org/doc/222250>.

@article{Ryabov2008,
abstract = { The spatio-temporal dynamics of a population present one of the most fascinating aspects and challenges for ecological modelling. In this article we review some simple mathematical models, based on one dimensional reaction-diffusion-advection equations, for the growth of a population on a heterogeneous habitat. Considering a number of models of increasing complexity we investigate the often contrary roles of advection and diffusion for the persistence of the population. When it is possible we demonstrate basic mathematical techniques and give the critical conditions providing the survival of a population in simple systems and in more complex resource-consumer models which describe the dynamics of phytoplankton in a water column.},
author = {Ryabov, A. B., Blasius, B.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {diffusion; advection; survival; population; phytoplankton},
language = {eng},
month = {11},
number = {3},
pages = {42-86},
publisher = {EDP Sciences},
title = {Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection},
url = {http://eudml.org/doc/222250},
volume = {3},
year = {2008},
}

TY - JOUR
AU - Ryabov, A. B.
AU - Blasius, B.
TI - Population Growth and Persistence in a Heterogeneous Environment: the Role of Diffusion and Advection
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/11//
PB - EDP Sciences
VL - 3
IS - 3
SP - 42
EP - 86
AB - The spatio-temporal dynamics of a population present one of the most fascinating aspects and challenges for ecological modelling. In this article we review some simple mathematical models, based on one dimensional reaction-diffusion-advection equations, for the growth of a population on a heterogeneous habitat. Considering a number of models of increasing complexity we investigate the often contrary roles of advection and diffusion for the persistence of the population. When it is possible we demonstrate basic mathematical techniques and give the critical conditions providing the survival of a population in simple systems and in more complex resource-consumer models which describe the dynamics of phytoplankton in a water column.
LA - eng
KW - diffusion; advection; survival; population; phytoplankton
UR - http://eudml.org/doc/222250
ER -