Top predator persistence in differential equation models of food chains: The effects of omnivory and external forcing of lower trophic levels

DOI10.1007/BF00275394zbMath0494.92022OpenAlexW2063818647WikidataQ52434748 ScholiaQ52434748MaRDI QIDQ1169428

Thomas C. Gard

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf00275394

zbMATH Keywords

persistence criteriaexternal forcinghighest trophic level predatorLotka- Volterra food chainsomnivory forcingordinary differential equation models of food chains

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (14)

Uniform persistence in multispecies population models ⋮ Stability and bifurcation analysis of Filippov food chain system with food chain control strategy ⋮ Dynamical analysis in a piecewise smooth predator–prey model with predator harvesting ⋮ Permanence for non-autonomous food chain systems with delay ⋮ When the feasibility of an ecosystem is sufficient for global stability ⋮ Chaos and adaptive control in two prey, one predator system with nonlinear feedback ⋮ On the extinction for non-autonomous food chain systems with delays ⋮ Uniformly Persistent Systems ⋮ Persistence in the chemostat ⋮ Global stability of partially closed food-chains with resources ⋮ Persistence in stochastic food web models ⋮ Persistence in models of three interacting predator-prey populations ⋮ Global stability and persistence of simple food chains ⋮ Periodic solutions of an \(n\)-species Lotka--Volterra type food-chain model with time delays

Cites Work

• Unnamed Item
• Persistence in food webs - I. Lotka-Volterra food chains
• Persistence in food webs: Holling-type food chains
• Persistence in food chains with general interactions

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