Shaken not stirred: On permanence in ecological communities
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Publication:1281365
DOI10.1006/tpbi.1998.1384zbMath0963.92505OpenAlexW2143678289WikidataQ51205644 ScholiaQ51205644MaRDI QIDQ1281365
Vincent A. A. Jansen, Karl Sigmund
Publication date: 24 June 2001
Published in: Theoretical Population Biology (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/451183271f2c8d55ea102fa9a4e5d068564e2944
Related Items (24)
Persistence for stochastic difference equations: a mini-review ⋮ Robust permanence for ecological equations with internal and external feedbacks ⋮ Dispersal-mediated coexistence of competing predators ⋮ Stabilization of metapopulation cycles: toward a classification scheme ⋮ The metapopulation fitness criterion: proof and perspectives ⋮ Stabilizing factors interact in promoting host-parasite coexistence ⋮ Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity ⋮ Keystone species and vulnerable species in ecological communities: strong or weak interactors? ⋮ Robust Permanence for Ecological Maps ⋮ Persistence despite perturbations for interacting populations ⋮ Coexistence for species sharing a predator. ⋮ Theoretical studies on the effects of dispersal corridors on the permanence of discrete predator-prey models in patchy environment ⋮ Persistence in fluctuating environments for interacting structured populations ⋮ Persistence in fluctuating environments ⋮ On the generality of stability-complexity relationships in Lotka-Volterra ecosystems ⋮ An analysis of the coexistence of two host species with a shared pathogen ⋮ Contributions to nonstationary community theory ⋮ Permanence and stable periodic solution for a discrete competitive system with multidelays ⋮ Persistence criteria for a chemostat with variable nutrient input ⋮ A delay model for persistent viral infections in replicating cells ⋮ Global asymptotical stability of the positive equilibrium of a logistic competitive model ⋮ Population viability in three trophic-level food chains ⋮ Statics and dynamics of multiple cubic autocatalytic reactions ⋮ Strange Periodic Attractors in a Prey-Predator System with Infected Prey
Cites Work
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- A permanence theorem for replicator and Lotka-Volterra systems
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- Uniform persistence and chain recurrence
- A general cooperation theorem for hypercycles
- Bifurcation from a limit cycle in a two predator-one prey ecosystem modeled on a chemostat
- Permanence and the dynamics of biological systems
- Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles
- Global stability in Lotka-Volterra systems with diffusion
- Two predators feeding on two prey species: A result on permanence
- Generalist and specialist predators that mediate permanence in ecological communities
- Effects of dispersal in a tri-trophic metapopulation model
- Ecological models, permanence and spatial heterogeneity
- Persistence Definitions and their Connections
- Uniformly Persistent Systems
- Nonlinear Aspects of Competition Between Three Species
- Successional stability of vector fields in dimension three
- Evolutionary Games and Population Dynamics
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