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D-Index & Metrics

Mathematics

D-Index
39
Citations
5580
World Ranking
2229
National Ranking
86

Overview

Michael J. Ward is affiliated with the University of British Columbia in Canada. Their research spans across multiple disciplines, mainly focusing on Physics and Astronomy as well as Computer Science.

The scientist's work addresses a variety of specialized subfields including:

  • Computer Networks and Communications
  • Molecular Biology
  • Public Health, Environmental and Occupational Health
  • Statistical and Nonlinear Physics
  • Biomedical Engineering

The main research topics covered by their publications include:

  • Nonlinear Dynamics and Pattern Formation
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Gene Regulatory Network Analysis
  • Theoretical and Computational Physics
  • Stochastic dynamics and bifurcation
  • Mathematical Biology Tumor Growth
  • Slime Mold and Myxomycetes Research

Selected recent papers highlight the diversity and focus of their research:

  • "A novel approach to modelling the spatial spread of airborne diseases: an epidemic model with indirect transmission" (2020), published in Mathematical Biosciences & Engineering
  • "Pattern forming systems coupling linear bulk diffusion to dynamically active membranes or cells" (2021), published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • "Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments" (2021), published in SIAM Journal on Applied Dynamical Systems
  • "Stable asymmetric spike equilibria for the Gierer-Meinhardt model with a precursor field" (2020), published in IMA Journal of Applied Mathematics
  • "Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field" (2020), published in SIAM Journal on Applied Mathematics

Frequent co-authors reflect collaborative research efforts in various areas. These collaborators include Sarafa A. Iyaniwura, Frédéric Paquin-Lefebvre, Tony Wong, Juncheng Wei, and Théodore Kolokolnikov.

Publications are often found in the following venues, indicating consistent contributions to these journals and repositories:

  • arXiv (Cornell University)
  • SIAM Journal on Applied Dynamical Systems
  • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • European Journal of Applied Mathematics
  • Physica D Nonlinear Phenomena

Best Publications

  • The stability of spike solutions to the one-dimensional Gierer—Meinhardt model

    David Iron;Michael J. Ward;Juncheng Wei

  • Strong localized perturbations of eigenvalue problems

    Michael J. Ward;Joseph B. Keller

  • An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains

    S. Pillay;Michael Jeffrey Ward;Anthony Peirce;Theodore Kolokolnikov

  • AN ASYMPTOTIC ANALYSIS OF THE MEAN FIRST PASSAGE TIME FOR NARROW ESCAPE PROBLEMS: PART II: THE SPHERE ∗

    Alexei F. Cheviakov;Michael Jeffrey Ward;Ronny Straube

  • Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric Properties

    Yujin Guo;Zhenguo Pan;Michael Jeffrey Ward

  • Summing logarithmic expansions for singularly perturbed eigenvalue problems

    Michael J. Ward;William D. Henshaw;Joseph B. Keller

  • Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps

    T. Kolokolnikov;M. S. Titcombe;M. J. Ward

  • Diffusion on a Sphere with Localized Traps : Mean First Passage Time, Eigenvalue Asymptotics, and Fekete Points

    Daniel Coombs;Ronny Straube;Michael Jeffrey Ward

  • The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime

    Theodore Kolokolnikov;Michael J. Ward;Juncheng Wei

  • First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps

    Alan E. Lindsay;Andrew J. Bernoff;Michael J. Ward

  • Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps

    A. F. Cheviakov;M. J. Ward

  • The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model

    Michael J. Ward;Juncheng Wei

  • The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model

    W. Chen;Michael Jeffrey Ward

  • On the exponentially slow motion of a viscous shock

    Luis G. Reyna;Michael J. Ward

  • The Dynamics of Multispike Solutions to the One-Dimensional Gierer--Meinhardt Model

    David Iron;Michael Jeffrey Ward

  • A metastable spike solution for a nonlocal reaction-diffusion model

    David Iron;Michael J. Ward

  • Spot Self-Replication and Dynamics for the Schnakenburg Model in a Two-Dimensional Domain

    Theodore Kolokolnikov;Michael Jeffrey Ward;Juncheng Wei

  • Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability

    M. J. Ward;J. Wei

  • The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime

    Theodore Kolokolnikov;Michael J. Ward;Juncheng Wei

  • Metastable bubble solutions for the Allen-Cahn equation with mass conservation

    Michael J. Ward

Frequent Co-Authors

Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Theodore Kolokolnikov
Theodore Kolokolnikov Dalhousie University
Joseph B. Keller
Joseph B. Keller Stanford University
Alan R Champneys
Alan R Champneys University of Bristol
Paul Houston
Paul Houston University of Nottingham
Anthony Peirce
Anthony Peirce University of British Columbia
Andrea L. Bertozzi
Andrea L. Bertozzi University of California, Los Angeles
Paul C. Bressloff
Paul C. Bressloff University of Utah
Shane D. Johnson
Shane D. Johnson University College London
Philip K. Maini
Philip K. Maini University of Oxford

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