A predator-prey model with optimal suppression of reproduction in the prey

DOI10.1016/0025-5564(95)00082-8zbMath0851.92020OpenAlexW2047000841WikidataQ52304637 ScholiaQ52304637MaRDI QIDQ1917632

Mats Gyllenberg, Torsten Lindström, Ilkka Hanski

Publication date: 20 August 1996

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(95)00082-8

zbMATH Keywords

equilibriumpredator-prey modelNicholson-Bailey modelRicker modelstability theoremcompetitive abilitypopulation oscillationsdiscrete predator-prey modelreproductive effortsingle-species modeladjustable strategiesbest fixed strategycontinuous Lotka-Volterra modelsuppressed reproduction

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Extinction and almost periodic solutions of a discrete Gilpin–Ayala type population model, Continuous versus discrete single species population models with adjustable reproductive strategies, Detecting chaos requires careful analysis of nearly periodic data, On the appearance of multiple attractors in discrete food-chains, On the evolution of the timing of reproduction, Impact of Dispersal on the Total Population Size, Constancy and Persistence of Two-patch Spatially-separated Populations, Breeding adjustment of small mammals to avoid predation, Irreversible prey diapause as an optimal strategy of a physiologically extended Lotka-Volterra model, Recent progress in discrete population dynamics, The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting, On the evolution of the timing of reproduction with non-equilibrium resident dynamics, The dynamic effects of an inducible defense in the Nicholson-Bailey model, STABILITY SWITCHES IN DISCRETE FOOD-CHAIN PROBLEMS

Cites Work

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