Stability and Bifurcation in a Stoichiometric Producer-Grazer Model with Knife Edge

DOI10.1137/15M1023610zbMath1356.34057OpenAlexW2547611869MaRDI QIDQ5506821

Yang Kuang, Hao Wang, Xiong Li, Xianshan Yang

Publication date: 16 December 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1023610

zbMATH Keywords

bifurcationglobal stabilityequilibriaHolling type-II functional responseproducer-grazer modelstoichiometric knife edge

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (6)

Dynamics of a stoichiometric producer-grazer model with maturation delay ⋮ A nonautonomous model for the effect of environmental toxins on plankton dynamics ⋮ Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment ⋮ Coexistence and extinction in a data-based ratio-dependent model of an insect community ⋮ Mechanistically derived toxicant-mediated predator-prey model under stoichiometric constraints ⋮ Contrasting stoichiometric dynamics in terrestrial and aquatic grazer–producer systems

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