Oscillatory coexistence in a food chain model with competing predators

DOI10.1007/BF00275711zbMath0566.92021OpenAlexW2071389615WikidataQ113909304 ScholiaQ113909304MaRDI QIDQ1059575

James P. Keener

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00275711

zbMATH Keywords

chemostatfood chain modelcompetitive exclusioncompeting predatorsmultiparameter bifurcation analysisstable oscillatory coexistence

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (3)

Coexistence in chemostat-like models ⋮ Exact solution for steady–state probability distribution of a simple stochastic lotka–volterra food chain ⋮ Spatiotemporal patterns in a ratio-dependent food chain model with reaction-diffusion

Cites Work

• Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Some mathematical problems concerning the ecological principle of competitive exclusion
• Coexistence of competing predators in a chemostat
• Oscillatory Coexistence in the Chemostat: A Codimension Two Unfolding
• Microbial Competition
• The Interaction of Steady State and Hopf Bifurcations in a Two-Predator–One-Prey Competition Model
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Competing Predators
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