Modeling and analysis of stoichiometric two-patch consumer-resource systems

DOI10.1016/j.mbs.2004.01.004zbMath1047.92046OpenAlexW2171416282WikidataQ51999085 ScholiaQ51999085MaRDI QIDQ1877145

Yang Kuang, Christian R. Miller, James J. Elser, William F. Fagan

Publication date: 16 August 2004

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2004.01.004

zbMATH Keywords

ExtinctionStoichiometryPatch modelBiodiversityConsumer-resource model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (10)

Optimal nutrient foraging strategy of an omnivore: Liebig's law determining numerical response ⋮ Permanence and stability of equilibrium for a two-prey one-predator discrete model ⋮ Global dynamics in a stoichiometric food chain model with two limiting nutrients ⋮ Stoichiometric modeling of aboveground-belowground interaction of herbaceous plant and two herbivores ⋮ Dynamics of additional food provided predator–prey system with habitat fragmentation ⋮ Effects of temporal and spatial heterogeneities created by consumer-driven nutrient recycling on algal diversity ⋮ Enrichment in a stoichiometric model of two producers and one consumer ⋮ A predator-prey model characterizing negative effect of prey on its predator ⋮ The \(P^*\) rule in the stochastic Holt-Lawton model of apparent competition ⋮ Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge

Cites Work

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• Biodiversity, habitat area, resource growth rate and interference competition
• Competition and stoichiometry: coexistence of two predators on one prey
• Stoichiometry in producer-grazer systems: linking energy flow with element cycling
• What the egg can tell about its hen: Embryonic development on the basis of dynamic energy budgets
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Predator-prey dynamics in models of prey dispersal in two-patch environments

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