An Explicit Theory for Pulses in Two Component, Singularly Perturbed, Reaction–Diffusion Equations

• Far-from-Equilibrium Traveling Pulses in Sloped Semiarid Environments Driven by Autotoxicity Effects

  2025 SIAM Journal on Applied Mathematics article Environmental Science Ecosystem dynamics and resilience Open access

  21

  citations
• Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model

  2024 Nonlinearity article Environmental Science Ecosystem dynamics and resilience Open access

  16

  citations
• Controlling pulse stability in singularly perturbed reaction-diffusion systems

  2023 Chaos An Interdisciplinary Journal of Nonlinear Science article Computer Science Nonlinear Dynamics and Pattern Formation Open access

  1

  citations
• Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations

  2022 Physica D Nonlinear Phenomena article Mathematics Differential Equations and Numerical Methods Open access

  12

  citations
• Slow localized patterns in singularly perturbed two-component reaction–diffusion equations

  2022 Nonlinearity article Mathematics Differential Equations and Numerical Methods Open access

  7

  citations
• Beyond Turing: far-from-equilibrium patterns and mechano-chemical feedback

  2021 Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences article Computer Science Nonlinear Dynamics and Pattern Formation

  38

  citations
• The influence of autotoxicity on the dynamics of vegetation spots

  2021 Physica D Nonlinear Phenomena article Environmental Science Ecosystem dynamics and resilience

  30

  citations
• Beyond Turing: Far-from-equilibrium patterns and mechano-chemical feedback

  2021 bioRxiv (Cold Spring Harbor Laboratory) preprint Computer Science Nonlinear Dynamics and Pattern Formation Open access

  3

  citations
• The influence of autotoxicity on the dynamics of vegetation spots

  2020 bioRxiv (Cold Spring Harbor Laboratory) preprint Environmental Science Ecosystem dynamics and resilience Open access

  4

  citations
• The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation

  2020 Physica D Nonlinear Phenomena article Environmental Science Ecosystem dynamics and resilience Open access

  27

  citations

10 results