Population dynamics of systems with consumers that maintain a constant ratio of intake rates of two resources

DOI10.1016/0040-5809(89)90010-5zbMath0662.92023OpenAlexW1965417053MaRDI QIDQ1114629

Peter A. Abrams, Lester Shen

Publication date: 1989

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(89)90010-5

zbMATH Keywords

limit cycleattractoroptimal exploitationtime lagsconsumer-resource modelsthree equilibriacapture ratesconstant ratio of intake ratesconsumer death ratesconsumer population sizeindividual fitnesslogistically growing resourcesnonsubstitutable resourcesnutritionally complementary resourcesresource growth functionsself- reproducing resourcessingle stable equilibriumsingle unstable equilibriumsingle-consumer modelstwo-consumer populations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Ecology (92D40) Stability theory for ordinary differential equations (34D99)

Related Items (5)

Interacting coexistence mechanisms in annual plant communities: frequency-dependent predation and the storage effect ⋮ Order and chaos in a food web consisting of a predator and two independent preys ⋮ The impact of consumer-resource cycles on the coexistence of competing consumers ⋮ Herbivores, the functional diversity of plants species, and the cycling of nutrients in ecosystems ⋮ Dynamics and responses to mortality rates of competing predators undergoing predator-prey cycles

Cites Work

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• The nonlinearity of competitive effects in models of competition for essential resources
• The functional responses of adaptive consumers of two resources
• Character displacement and niche shift analyzed using consumer-resource models of competition
• Consumer functional response and competition in consumer-resource systems
• Niche overlap and invasion of competitors in random environments. I. Models without demographic stochasticity
• Discrete time models for two-species competition
• The stabilizing effect of a random environment
• Global Models of Growth and Competition

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