Persistence of a generalized Gause-type two prey - two predator pair linked by competition
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Publication:1336354
DOI10.1016/0025-5564(94)90080-9zbMath0816.92019OpenAlexW1990847843WikidataQ52374395 ScholiaQ52374395MaRDI QIDQ1336354
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)90080-9
uniform persistenceheteroclinic cyclesweak persistencegeneralized Gause-type modelmultiple boundary equilibriatwo predator-two prey system
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ecology (92D40)
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Cites Work
- A theorem on average Liapunov functions
- Uniform persistence and global stability of two prey-predator pairs linked by competition
- Permanence in Lotka-Volterra equations: Linked prey-predator systems
- Global stability of a predator-prey system
- 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
- Diffusion-mediated persistence in three-species competition models with heteroclinic cycles
- Persistence Definitions and their Connections
- Uniformly Persistent Systems
- Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
- Persistence in dynamical systems
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