Dynamics of a producer-grazer model incorporating the effects of excess food nutrient content on grazer's growth

Angela Peace, Hao Wang, Yang Kuang

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Modeling under the framework of ecological stoichiometric allows the investigation of the effects of food quality on food web population dynamics. Recent discoveries in ecological stoichiometry suggest that grazer dynamics are affected by insufficient food nutrient content (low phosphorus (P)/carbon (C) ratio) as well as excess food nutrient content (high P:C). This phenomenon is known as the "stoichiometric knife edge." While previous models have captured this phenomenon, they do not explicitly track P in the producer or in the media that supports the producer, which brings questions to the validity of their predictions. Here, we extend a Lotka-Volterra-type stoichiometric model by mechanistically deriving and tracking P in the producer and free P in the environment in order to investigate the growth response of Daphnia to algae of varying P:C ratios. Bifurcation analysis and numerical simulations of the full model, that explicitly tracks phosphorus, lead to quantitative different predictions than previous models that neglect to track free nutrients. The full model shows that the fate of the grazer population can be very sensitive to excess nutrient concentrations. Dynamical free nutrient pool seems to induce extreme grazer population density changes when total nutrient is in an intermediate range.

Original languageEnglish (US)
Pages (from-to)2175-2197
Number of pages23
JournalBulletin of Mathematical Biology
Volume76
Issue number9
DOIs
StatePublished - Sep 1 2014

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Nutrients
Excess
nutrient content
Food
food
Growth
nutrient
Phosphorus
algae
nutrients
phosphorus
Model
Food Web
food quality
stoichiometry
bifurcation
Population dynamics
Stoichiometry
prediction
growth response

ASJC Scopus subject areas

  • Medicine(all)

Cite this

Dynamics of a producer-grazer model incorporating the effects of excess food nutrient content on grazer's growth. / Peace, Angela; Wang, Hao; Kuang, Yang.

In: Bulletin of Mathematical Biology, Vol. 76, No. 9, 01.09.2014, p. 2175-2197.

Research output: Contribution to journalArticle

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