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

Ming Chen, Meng Fan, Yang Kuang

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Fingerprint

Food Chain Model
Stoichiometry
Food Chain
Global Dynamics
Nutrients
food chain
stoichiometry
Limiting
Chaotic Dynamics
Food
nutrients
Food Web
Global Analysis
Cycling
Predator
Population Model
Growth
Ecosystem
chemical elements
balance studies

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

Cite this

Global dynamics in a stoichiometric food chain model with two limiting nutrients. / Chen, Ming; Fan, Meng; Kuang, Yang.

In: Mathematical Biosciences, Vol. 289, 01.07.2017, p. 9-19.

Research output: Contribution to journalArticle

@article{6a3613812dcd40d2918135ba8b70e74d,
title = "Global dynamics in a stoichiometric food chain model with two limiting nutrients",
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.",
keywords = "C:P ratio, Food quality, Predator-prey system, Stoichiometry",
author = "Ming Chen and Meng Fan and Yang Kuang",
year = "2017",
month = "7",
day = "1",
doi = "10.1016/j.mbs.2017.04.004",
language = "English (US)",
volume = "289",
pages = "9--19",
journal = "Mathematical Biosciences",
issn = "0025-5564",
publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Global dynamics in a stoichiometric food chain model with two limiting nutrients

AU - Chen, Ming

AU - Fan, Meng

AU - Kuang, Yang

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - C:P ratio

KW - Food quality

KW - Predator-prey system

KW - Stoichiometry

UR - http://www.scopus.com/inward/record.url?scp=85018475351&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018475351&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2017.04.004

DO - 10.1016/j.mbs.2017.04.004

M3 - Article

VL - 289

SP - 9

EP - 19

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

ER -