Bifurcations in ecosystem models and their biological interpretation

DOI10.1080/00036810108840894zbMath1014.92042OpenAlexW2089455493WikidataQ58187517 ScholiaQ58187517MaRDI QIDQ2729525

Martin P. Boer, Bob W. Kooi

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840894

zbMATH Keywords

chemostatbifurcation analysisinvasionlocal and global bifurcationsfood webcommunity assembly

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Uses Software

• AUTO

Cites Work

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• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem
• Singular homoclinic bifurcations in tritrophic food chains
• Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain
• Food chain dynamics in the chemostat
• Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
• Chaos in three species food chains
• Chaos in one-predator, two-prey models: General results from bifurcation theory
• Complex dynamic behaviour of autonomous microbial food chains
• On the use of the logistic equation in models of food chains.
• Consequences of population models for the dynamics of food chains
• Bifurcation structure of a three-species food chain model
• Remarks on food chain dynamics
• Chaotic dynamics of a food web in a chemostat
• A size dependent predator-prey interaction: Who pursues whom?
• The Numerical Computation of Connecting Orbits in Dynamical Systems
• Stable Orbits and Bifurcation of Maps of the Interval
• The Numerical Computation of Homoclinic Orbits for Maps
• A NUMERICAL TOOLBOX FOR HOMOCLINIC BIFURCATION ANALYSIS
• Deterministic Nonperiodic Flow
• Crises, sudden changes in chaotic attractors, and transient chaos
• Simple mathematical models with very complicated dynamics
• Elements of applied bifurcation theory

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