Two predators feeding on two prey species: A result on permanence

DOI10.1016/0025-5564(89)90080-1zbMath0686.92021OpenAlexW2018825085WikidataQ52425250 ScholiaQ52425250MaRDI QIDQ1262838

Gabriela Kirlinger

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0025-5564(89)90080-1

zbMATH Keywords

survivalextinctionLotka-Volterra equationheteroclinic cyclesCharacterizations for permanencefour-species prey-predator system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40) Qualitative theory for ordinary differential equations (34C99) Stability theory for ordinary differential equations (34D99) Asymptotic theory for ordinary differential equations (34E99)

Related Items (9)

Persistence, stability and level crossings in an integrodifferential system ⋮ Multiple cyclic sets connecting saddle points and limit cycles of a four- species system and its uniform persistence ⋮ Conflict between the need to forage and the need to avoid competition: Persistence of two-species model ⋮ Persistence and periodic orbits of a three-competitor model with refuges ⋮ Diffusion-mediated persistence in three-species competition models with heteroclinic cycles ⋮ Permanence and the dynamics of biological systems ⋮ Evolutionary branching and evolutionarily stable coexistence of predator species: critical function analysis ⋮ Shaken not stirred: On permanence in ecological communities ⋮ The persistence and stability for a predator-parasite-pest system

Cites Work

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• Uniformly Persistent Systems
• Nonlinear Aspects of Competition Between Three Species
• Persistence in dynamical systems

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