Oscillations in a system with material cycling

DOI10.1007/BF00277730zbMath0713.92027OpenAlexW1969265585WikidataQ113909002 ScholiaQ113909002MaRDI QIDQ750369

Edoardo Beretta, Gian-Italo Bischi, Fortunata Solimano

Publication date: 1988

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277730

zbMATH Keywords

Hopf bifurcationabiotic resourceevolution of a biotic speciesexistence of stable oscillationsnutrient recycling with time delay

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Ecology (92D40) Qualitative behavior of solutions to integral equations (45M99)

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Cites Work

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• Multiple limit cycles in predator-prey models
• Global stability of partially closed food-chains with resources
• Great delay in a predator-prey model
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms

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