Enrichment in a general class of stoichiometric producer-consumer population growth models

Harlan Stech, Bruce B Peckham, John J Pastor

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


This paper presents the derivation and partial analysis of a general producer-consumer model. The model is stoichiometric in that it includes the growth constraints imposed by species-specific biomass carbon to nutrient ratios. The model unifies the approaches of other studies in recent years, and is calibrated from an extensive review of the algae-. Daphnia literature. Numerical simulations and bifurcation analysis are used to examine the impact of energy enrichment under nutrient and stoichiometric constraints. Our results suggest that the variety of system responses previously cited for related models can be attributed to the size of the total system nutrient pool, which is here assumed fixed. New, more complicated bifurcation sequences, such as multiple homoclinic bifurcations, are demonstrated as well. The mechanistic basis of the model permits us to show the robustness of the system's dynamics subject to alternate approaches to modeling producer and consumer biomass production.

Original languageEnglish (US)
Pages (from-to)210-222
Number of pages13
JournalTheoretical Population Biology
Issue number3
StatePublished - May 2012


  • Energy
  • Nutrient enrichment
  • Producer-consumer models
  • Stoichiometry


Dive into the research topics of 'Enrichment in a general class of stoichiometric producer-consumer population growth models'. Together they form a unique fingerprint.

Cite this