Multiple cyclic sets connecting saddle points and limit cycles of a four- species system and its uniform persistence

DOI10.1016/0025-5564(94)90068-XzbMath0816.92018OpenAlexW2009566906WikidataQ52376386 ScholiaQ52376386MaRDI QIDQ1336362

V. Pereyra

Publication date: 28 November 1994

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

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90068-x

zbMATH Keywords

limit cycleuniform persistencesaddle pointsequilibriaprey-predator modelsgeneralized Gause-type four-species systeminvariant cyclic sets

Mathematics Subject Classification ID

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

Related Items (3)

Optimal foraging and predator-prey dynamics. II ⋮ Attracting theorems for cyclic sets and impermanence ⋮ The connection matrix and heteroclinic cycles in two prey-predator pairs with multiple equilibria

Cites Work

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• Permanence of some ecological systems with several predator and one prey species
• On the stabilizing effect of predators and competitors on ecological communities
• Persistence in models of three interacting predator-prey populations
• A theorem on average Liapunov functions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Permanent coexistence in general models of three interacting species
• Permanence in Lotka-Volterra equations: Linked prey-predator systems
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Interactions leading to persistence in predator-prey systems with group defence
• Uniform persistence and chain recurrence
• A general cooperation theorem for hypercycles
• Two predators feeding on two prey species: A result on permanence
• Persistence of a generalized Gause-type two prey - two predator pair linked by competition
• Uniformly Persistent Systems
• Uniform Persistence and Repellors for Maps
• Permanence for three species with cyclic loop
• Nonlinear Aspects of Competition Between Three Species
• Asymptotic Behavior for a Competitive Model with Genetic Variation
• Persistence in dynamical systems

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