A stoichiometric producer-grazer model incorporating the effects of excess food-nutrient content on consumer dynamics

Angela Peace, Yuqin Zhao, Irakli Loladze, James J. Elser, Yang Kuang

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While the effects of nutrient deficiency on consumer growth are well understood, recent discoveries in ecological stoichiometry suggest that consumer dynamics are not only affected by insufficient food nutrient content (low phosphorus (P): carbon (C) ratio) but also by excess food nutrient content (high P:C). This phenomenon is known as the stoichiometric knife edge, in which animal growth is reduced not only by food with low P content but also by food with high P content, and needs to be incorporated into mathematical models. Here we present a Lotka-Volterra type model to investigate the growth response of Daphnia to algae of varying P:C ratios capturing the mechanism of the stoichiometric knife edge.

Original languageEnglish (US)
Pages (from-to)107-115
Number of pages9
JournalMathematical Biosciences
Volume244
Issue number2
DOIs
StatePublished - Aug 1 2013

Keywords

  • Daphnia
  • Ecological stoichiometry
  • Lotka-Volterra
  • Stoichiometric knife edge

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