Permanence via invasion graphs: incorporating community assembly into modern coexistence theory
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Publication:2088014
DOI10.1007/s00285-022-01815-2zbMath1501.92113arXiv2204.03773OpenAlexW4306690916WikidataQ115470796 ScholiaQ115470796MaRDI QIDQ2088014
Josef Hofbauer, Sebastian J. Schreiber
Publication date: 21 October 2022
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.03773
Population dynamics (general) (92D25) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ecology (92D40)
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Cites Work
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- A criterion for permanent coexistence of species, with an application to a two-prey one-predator system
- Persistence in fluctuating environments
- Robust permanence for interacting structured populations
- Qualitative permanence of Lotka-Volterra equations
- Community assembly and food web stability
- Permanence in Lotka-Volterra equations: Linked prey-predator systems
- Uniform persistence and chain recurrence
- A general cooperation theorem for hypercycles
- Permanence and the dynamics of biological systems
- Some mathematical problems concerning the ecological principle of competitive exclusion
- Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles
- On growth rates of subadditive functions for semiflows
- Multispecies competition in variable environments
- Robust heteroclinic cycles
- Generalist and specialist predators that mediate permanence in ecological communities
- Coexistence for species sharing a predator.
- Criteria for \(C^r\) robust permanence
- Robust permanence for ecological equations with internal and external feedbacks
- Coexistence and extinction for stochastic Kolmogorov systems
- The stabilizing effect of a random environment
- Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points
- Intermingled basins in a two species system
- Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate
- \(N\)-species competition in a periodic chemostat
- Atto-foxes and other minutiae
- Persistence and extinction for stochastic ecological models with internal and external variables
- Invasibility and stochastic boundedness in monotonic competition models
- La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire
- Robust permanence and impermanence for stochastic replicator dynamics
- Uniformly Persistent Systems
- Uniform Persistence and Repellors for Maps
- Nonlinear Aspects of Competition Between Three Species
- A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
- Does environmental variability limit niche overlap?
- Heteroclinic networks on the tetrahedron
- Asymptotic stability of heteroclinic cycles in systems with symmetry
- RIDDLED BASINS
- Evolutionary Games and Population Dynamics
- Robust Permanence for Ecological Differential Equations, Minimax, and Discretizations
- Ergodic Attractors
- To persist or not to persist?
- The Theory of the Chemostat
- Robust Permanence for Ecological Maps
- Dynamical systems in population biology
- Kolmogorov vector fields with robustly permanent subsystems
