Dispersal delays, predator-prey stability, and the paradox of enrichment

DOI10.1016/J.TPB.2007.02.002zbMath1122.92065OpenAlexW2007793176WikidataQ57656587 ScholiaQ57656587MaRDI QIDQ2459074

Michael G. Neubert, Petra Klepac, Pauline van den Driessche

Publication date: 5 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.tpb.2007.02.002

zbMATH Keywords

distributed delaydelay-differential equationsmetapopulation dynamics

Mathematics Subject Classification ID

Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays ⋮ Impact of dispersal on the stability of metapopulations ⋮ Impacts of the dispersal delay on the stability of the coexistence equilibrium of a two-patch predator-prey model with random predator dispersal ⋮ How robust is dispersal-induced spatial synchrony? ⋮ Delay-induced instabilities of stationary solutions in a single species nonlocal hyperbolic-parabolic population model ⋮ The joint impacts of dispersal delay and dispersal patterns on the stability of predator-prey metacommunities ⋮ A two-patch prey-predator model with predator dispersal driven by the predation strength ⋮ Influence of temporary migration on the transmission of infectious diseases in a migrants' home village

Cites Work

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• Self-organization, scale and stability in a spatial predator-prey interaction
• Stability and pattern in two-patch predator-prey population dynamics
• Stabilizing dispersal delays in predator-prey metapopulation models.
• The dynamics of two diffusively coupled predator--prey populations.
• Time delay effects on coupled limit cycle oscillators at Hopf bifurcation
• Competition and dispersal delays in patchy environments

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