Global dynamics in a stoichiometric food chain model with two limiting nutrients

Ming Chen, Meng Fan, Yang Kuang

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Ecological stoichiometry studies the balance of energy and multiple chemical elements in ecological interactions to establish how the nutrient content affect food-web dynamics and nutrient cycling in ecosystems. In this study, we formulate a food chain with two limiting nutrients in the form of a stoichiometric population model. A comprehensive global analysis of the rich dynamics of the targeted model is explored both analytically and numerically. Chaotic dynamic is observed in this simple stoichiometric food chain model and is compared with traditional model without stoichiometry. The detailed comparison reveals that stoichiometry can reduce the parameter space for chaotic dynamics. Our findings also show that decreasing producer production efficiency may have only a small effect on the consumer growth but a more profound impact on the top predator growth.

Original languageEnglish (US)
Pages (from-to)9-19
Number of pages11
JournalMathematical Biosciences
Volume289
DOIs
StatePublished - Jul 1 2017

Keywords

  • C:P ratio
  • Food quality
  • Predator-prey system
  • Stoichiometry

ASJC Scopus subject areas

  • Statistics and Probability
  • Medicine(all)
  • Modeling and Simulation
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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