A minimum model of prey-predator system with dormancy of predators and the paradox of enrichment

DOI10.1007/S00285-008-0203-1zbMath1153.92035OpenAlexW1969913862WikidataQ46458016 ScholiaQ46458016MaRDI QIDQ5966391

Toshiyuki Ogawa, Masataka Kuwamura, Takefumi Nakazawa

Publication date: 3 February 2009

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

Full work available at URL: https://doi.org/10.1007/s00285-008-0203-1

zbMATH Keywords

saddle-node bifurcationlimit cycleseutrophicationhatching

Mathematics Subject Classification ID

Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

Impulsive perturbations in a predator-prey model with dormancy of predators ⋮ Quiescence, excitability, and heterogeneity in ecological models ⋮ Nonchaos-Mediated Mixed-Mode Oscillations in a Prey-Predator Model with Predator Dormancy ⋮ Bifurcation and chaos of a delayed predator-prey model with dormancy of predators ⋮ The Role of Adaptation in Plankton System with Beddington-DeAngelis Type Functional Response ⋮ Another New Chaotic System: Bifurcation and Chaos Control

Uses Software

• HomCont
• Unnamed Item

Cites Work

• Geometric theory of semilinear parabolic equations
• Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities
• A variational approach to singular perturbation problems in reaction-diffusion systems
• Elements of applied bifurcation theory

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