Complete mathematical analysis of predator-prey models with linear prey growth and Bedding\-ton-DeAngelis functional response

DOI10.1016/j.amc.2003.12.106zbMath1057.92050OpenAlexW1976939653WikidataQ115598648 ScholiaQ115598648MaRDI QIDQ1765800

Dobromir T. Dimitrov, Hristo V. Kojouharov

Publication date: 23 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.106

zbMATH Keywords

Beddington-DeAngelis functional responseDulac's criterionPredator-preyPoincare-Bendixson Theorem

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• Nutrient- and density-dependent effects in a producer-consumer model
• A mathematical model of two-trophic-level aquatic systems with two complementary nutrients
• Global qualitative analysis of a ratio-dependent predator-prey system
• Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
• Parametric analysis of the ratio-dependent predator-prey model
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
• Unnamed Item
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