Warning signs for wave speed transitions of noisy Fisher–KPP invasion fronts

@article{Kuehn2013WarningSF,
  title={Warning signs for wave speed transitions of noisy Fisher–KPP invasion fronts},
  author={Christian Kuehn},
  journal={Theoretical Ecology},
  year={2013},
  volume={6},
  pages={295-308}
}
  • Christian Kuehn
  • Published 2013
  • Biology, Mathematics, Physics
  • Theoretical Ecology
  • Invasion waves are a fundamental building block of theoretical ecology. In this study, we aim to take the first steps to link propagation failure and fast acceleration of traveling waves to critical transitions (or tipping points). The approach is based upon a detailed numerical study on various versions of the Fisher–Kolmogorov–Petrovskii–Piscounov equation. The main motivation of this work is to contribute to the following question: how much information do statistics, collected by a… CONTINUE READING

    Figures from this paper.

    Early-warning signs for pattern-formation in stochastic partial differential equations
    • 14
    • PDF
    Scaling Laws and Warning Signs for Bifurcations of SPDEs
    • 2
    • PDF
    Editorial: special issue on regime shifts and tipping points in ecology
    • 14
    • PDF
    Heterogeneous population dynamics and scaling laws near epidemic outbreaks.
    • 10
    • PDF
    Travelling Waves in Monostable and Bistable Stochastic Partial Differential Equations
    • 7
    • PDF
    Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn Equation
    • 19
    • PDF
    Dynamics of Stochastic Reaction-Diffusion Equations
    • 1
    • PDF

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 119 REFERENCES
    Spatial correlation as leading indicator of catastrophic shifts
    • 219
    • PDF
    Early Warnings of Regime Shifts: A Whole-Ecosystem Experiment
    • 577
    • PDF
    Slowing Down in Spatially Patterned Ecosystems at the Brink of Collapse
    • 181
    A Mathematical Framework for Critical Transitions: Normal Forms, Variance and Applications
    • C. Kuehn
    • Computer Science, Mathematics
    • 2013
    • 69
    • PDF
    Early warning signals of extinction in deteriorating environments
    • 361
    • PDF
    A mathematical framework for critical transitions: Bifurcations, fast–slow systems and stochastic dynamics
    • 201
    • PDF
    Early-warning signals for critical transitions
    • 2,488
    • PDF
    Modeling and analysis of stochastic invasion processes
    • 140
    • PDF
    Pattern formation outside of equilibrium
    • 4,935
    • PDF
    Recovery rates reflect distance to a tipping point in a living system
    • 274
    • PDF