Modeling persistence and mutual interference among subpopulations of ecological communities

DOI10.1007/BF02460038zbMath0571.92026OpenAlexW4244809670MaRDI QIDQ1061656

Lynn H. Erbe, Herb I. Freedman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02460038

zbMATH Keywords

persistencefood chaininteractionmutual interferenceinvasibility of a stable communitysublinearities

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Population dynamics (general) (92D25) Ecology (92D40) Stability theory for ordinary differential equations (34D99) Dynamical systems and ergodic theory (37-XX)

Related Items (11)

Three-species food-chain models with mutual interference and time delays ⋮ Predator-prey systems with group defence: The paradox of enrichment revisited ⋮ Bifurcations in persistence theory ⋮ Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference ⋮ Finite time blowup in a realistic food-chain model ⋮ On the long-time dynamics of nonautonomous predator-prey models with mutual interference ⋮ Persistence in three-species food chain models with group defense ⋮ Estimation of the parameters of an infectious disease model using neural networks ⋮ Short-term recurrent chaos and role of toxin producing phytoplankton (TPP) on chaotic dynamics in aquatic systems ⋮ Interference and generation cycles ⋮ Global stability and persistence of simple food chains

Cites Work

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• Persistence in models of three interacting predator-prey populations
• The trade-off between mutual interference and time lags in predator-prey systems
• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• When is a complex ecosystem stable
• Mathematical analysis of some three-species food-chain models
• Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
• Global stability of ecosystems of the generalized Volterra type
• Global Stability in Ecological Systems with Continuous Time Delay

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