Enrichment Paradox Induced by Spatial Heterogeneity in a Phytoplankton - Zooplankton System

Poggiale, J.-C., Gauduchon, M., and Auger, P.. "Enrichment Paradox Induced by Spatial Heterogeneity in a Phytoplankton - Zooplankton System." Mathematical Modelling of Natural Phenomena 3.3 (2008): 87-102. <http://eudml.org/doc/222337>.

@article{Poggiale2008,
abstract = { This paper is devoted to the study of a predator-prey model in a patchy environment. The model represents the interactions between phytoplankton and zooplankton in the water column. Two patches are considered with respect to light availability: one patch is associated to the surface layer, the second patch describes the bottom layer. We show that this spatial heterogeneity may destabilize the predator-prey system, even in oligotrophic system where the nutrient is low enough to avoid ”paradox-enrichment” phenomenon. Indeed, in this case, an heterogeneity index can be used as a bifurcation parameter, leading to a Hopf bifurcation. Moreover, we assume that individuals can be dispersed in both patches via hydrodynamism processes, like in a mixed layer. The effect of mixing intensity is analysed as well as interactions between dispersion and enrichment. We also show that, in some cases, spatial heterogeneity has a stabilizing effect. These contrasted results are examined by considering the non linear interaction between heterogeneity, dispersal and enrichment and some mechanisms leading to stabilization/destabilization are exhibited. },
author = {Poggiale, J.-C., Gauduchon, M., Auger, P.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {spatial heterogeneity; enrichment paradox; singular perturbations; bifurcations},
language = {eng},
month = {11},
number = {3},
pages = {87-102},
publisher = {EDP Sciences},
title = {Enrichment Paradox Induced by Spatial Heterogeneity in a Phytoplankton - Zooplankton System},
url = {http://eudml.org/doc/222337},
volume = {3},
year = {2008},
}

TY - JOUR
AU - Poggiale, J.-C.
AU - Gauduchon, M.
AU - Auger, P.
TI - Enrichment Paradox Induced by Spatial Heterogeneity in a Phytoplankton - Zooplankton System
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/11//
PB - EDP Sciences
VL - 3
IS - 3
SP - 87
EP - 102
AB - This paper is devoted to the study of a predator-prey model in a patchy environment. The model represents the interactions between phytoplankton and zooplankton in the water column. Two patches are considered with respect to light availability: one patch is associated to the surface layer, the second patch describes the bottom layer. We show that this spatial heterogeneity may destabilize the predator-prey system, even in oligotrophic system where the nutrient is low enough to avoid ”paradox-enrichment” phenomenon. Indeed, in this case, an heterogeneity index can be used as a bifurcation parameter, leading to a Hopf bifurcation. Moreover, we assume that individuals can be dispersed in both patches via hydrodynamism processes, like in a mixed layer. The effect of mixing intensity is analysed as well as interactions between dispersion and enrichment. We also show that, in some cases, spatial heterogeneity has a stabilizing effect. These contrasted results are examined by considering the non linear interaction between heterogeneity, dispersal and enrichment and some mechanisms leading to stabilization/destabilization are exhibited.
LA - eng
KW - spatial heterogeneity; enrichment paradox; singular perturbations; bifurcations
UR - http://eudml.org/doc/222337
ER -