M. Ward

发表

Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

J. Tzou, M. Ward, T. Kolokolnikov, 2014, 1401.5359.

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

Michael J. Ward, Yujin Guo, Zhenguo Pan, 2005, SIAM J. Appl. Math..

Metastable internal layer dynamics for the viscous Cahn–Hilliard equation

M. Ward, L. Reyna, 1995 .

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

Michael J. Ward, David Iron, Juncheng Wei, 2001 .

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

Michael J. Ward, Juncheng Wei, M. Ward, 2002 .

Hopf bifurcation of spike solutions for the shadow Gierer–Meinhardt model

Michael J. Ward, Juncheng Wei, M. Ward, 2003, European Journal of Applied Mathematics.

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

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2005 .

Self-replication of mesa patterns in reaction-diffusion systems

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2007 .

Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model

Michael J. Ward, M. Ward, Wan Chen, 2009, European Journal of Applied Mathematics.

The dynamics of localized spot patterns for reaction-diffusion systems on the sphere

Michael J. Ward, Philippe H. Trinh, M. Ward, 2014, 1411.3386.

Asymptotic Analysis of First Passage Time Problems Inspired by Ecology

J. Tzou, M. Ward, D. Coombs, 2014, Bulletin of Mathematical Biology.

SIMULATION AND OPTIMIZATION OF MEAN FIRST PASSAGE

M. Ward, Tony Wong, C. Macdonald, 2019 .

Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems

M. Ward, 2018, Nonlinearity.

Mathematical modeling and numerical computation of narrow escape problems.

M. Ward, A. Cheviakov, A. Reimer, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

The onset of thermal runaway in partially insulated or cooled reactors

E. V. D. Velde, M. Ward, 1992 .

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

Michael J. Ward, Michèle S. Titcombe, Theodore Kolokolnikov, 2005, European Journal of Applied Mathematics.

ASYMPTOTIC ANALYSIS FOR THE MEAN FIRST PASSAGE TIME IN FINITE OR SPATIALLY PERIODIC 2D DOMAINS WITH A CLUSTER OF SMALL TRAPS

M. Ward, S. Iyaniwura, 2021, The ANZIAM Journal.

Reaction Rate of Small Diffusing Molecules on a Cylindrical Membrane

M. Ward, M. Falcke, R. Straube, 2007 .

On perturbations of cubic fold points for nonlinear eigenvalue problems

M. Ward, Sven Wolf, 1994 .

Asymptotic methods for metal oxide semiconductor field effect transistor modeling

D. S. Cohen, M. Ward, F. Odeh, 1990 .

Asymptotic Methods For PDE Problems In Fluid Mechanics and Related Systems With Strong Localized Perturbations In Two-Dimensional Domains

M. Ward, M. Kropinski, 2010 .

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

Michael J. Ward, A. Peirce, Theodore Kolokolnikov, 2010, Multiscale Model. Simul..

A hybrid asymptotic-numerical method for calculating drag coefficients in 2-D low Reynolds number flows

M. Ward, S. Hormozi, 2017 .

On accurately estimating stability thresholds for periodic spot patterns of reaction-diffusion systems in $\mathbb{R}$2

M. Ward, Juncheng Wei, D. Iron, 2015, European Journal of Applied Mathematics.

An asymptotic analysis of the persistence threshold for the diffusive logistic model in spatial environments with localized patches

M. Ward, A. Lindsay, 2010 .

Hotspot formation and dynamics for a continuum model of urban crime†

M. Ward, W. Tse, Michael J. Ward, 2015, European Journal of Applied Mathematics.

Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems

Alan E. Lindsay, Mary Catherine A. Kropinski, Michael J. Ward, 2011 .

Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics

Alan E. Lindsay, Michael J. Ward, M. Ward, 2010, European Journal of Applied Mathematics.

Mean First Passage Time and the Splitting Probability in 2-D Domains with a Cluster of Small Traps

M. Ward, S. Iyaniwura, 2020 .

Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction‐Diffusion Systems

Michael J. Ward, Iain R. Moyles, Wang Hung Tse, 2016 .

Existence , Stability , and Dynamics of Ring and Near-Ring Solutions to the Gierer-Meinhardt Model with Saturation in the Semi-Strong Regime

M. Ward, I. Moyles, 2016 .

Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2006 .

Zigzag and Breakup Instabilities of Stripes and Rings in the Two-Dimensional Gray–Scott Model

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2006 .

Asymptotic Methods for Reaction-Diffusion Systems: Past and Present

M. Ward, Michael J Ward, 2006, Bulletin of mathematical biology.

Pulse‐Splitting for Some Reaction‐Diffusion Systems in One‐Space Dimension

M. Ward, T. Kolokolnikov, Juncheng Wei, 2005 .

Numerical Challenges for Resolving Spike Dynamics for Two One‐Dimensional Reaction‐Diffusion Systems

Michael J. Ward, Juncheng Wei, M. Ward, 2003 .

A theory of synchrony by coupling through a diffusive chemical signal

M. Ward, P. Lai, Yue-Xian Li, 2017 .

Transition to blow-up in a reaction–diffusion model with localized spike solutions†

Michael J. Ward, J. C. Tzou, V. Rottschäfer, 2017, European Journal of Applied Mathematics.

Transition to Finite-Time Blow-up in a Reaction-Diffusion Model with Localized Spike Solutions

V. Rottschäfer, J. Tzou, M. Ward, 2016 .

P. Broadbridge, M. Ward, G. Bluman, 2010 .

The stability of localized spikes for the 1-D Brusselator reaction–diffusion model

J. Tzou, M. Ward, Y. Nec, 2013, European Journal of Applied Mathematics.

Metastable dynamics and exponential asymptotics in multi-dimensional domains

M. Ward, 2001 .

Metastability and pinning for convection-diffusion-reaction equations in thin domains

M. Ward, Xiaodi Sun, Xiaodi Sun, 1999 .

Metastable Dynamics and Spatially Inhomogeneous Equilibria in Dumbbell‐Shaped Domains

Michael J. Ward, M. Ward, D. Stafford, 1999 .

Dynamic metastability and singular perturbations

Michael J. Ward, M. Ward, 1998 .

Metastability and Pinning for Convection-Di usion-ReactionEquations in Thin

M. Ward, D. Sun, 1998 .

On the exponentially slow motion of a viscous shock

Michael J. Ward, Luis G. Reyna, M. Ward, 1995 .

On exponential ill-conditioning and internal layer behavior

Michael J. Ward, Luis G. Reyna, M. Ward, 1995 .

Correction To: Application of Quasi-Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors

L. Edelstein-Keshet, M. Ward, C. Zmurchok, 2018, Bulletin of mathematical biology.

A novel approach to modelling the spatial spread of airborne diseases: an epidemic model with indirect transmission.

F. Brauer, M. Ward, S. Iyaniwura, 2020, Mathematical biosciences and engineering : MBE.

Stabilizing a homoclinic stripe

J. Tzou, M. Ward, T. Kolokolnikov, 2018, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A metastable flame-front interface and Carrier's problem

M. Ward, Chunhua Ou, 2006 .

Convective Heat Transfer past Small Cylindrical Bodies

Michèle S. Titcombe, M. Ward, 1997 .

The Stability and Slow Dynamics of Two-Spike Patterns for a Class of Reaction-Diffusion System

M. Ward, Y. Nec, 2013 .

Dynamics and stability of spike-type solutions to a one dimensional Gierer–Meinhardt model with sub-diffusion

M. Ward, Y. Nec, 2012 .

Synchronous Oscillations for a Coupled Cell-Bulk ODE-PDE model with Localized Cells on R

M. Ward, J. Gou, S. Iyaniwura, 2020 .

Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Sensing with Small Signaling Compartments

M. Ward, S. Iyaniwura, 2020, 2007.08765.

THE STABILITY AND DYNAMICS OF HOT-SPOT SOLUTIONS TO TWO ONE-DIMENSIONAL MICROWAVE HEATING MODELS

M. Ward, D. Iron, 2004 .

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

M. Ward, T. Kolokolnikov, Juncheng Wei, 2005 .

COMPETITION INSTABILITIES OF SPIKE PATTERNS FOR THE 1-D

M. Ward, F. Paquin-Lefebvre, 2020 .

Cops-on-the-dots: The linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime

M. Ward, T. Kolokolnikov, Juncheng Wei, 2019, European Journal of Applied Mathematics.

Anomalous Scaling of Hopf Bifurcation Thresholds for the Stability of Localized Spot Patterns for Reaction-Diffusion Systems in 2-D

J. Tzou, M. Ward, J. Wei, 2017 .

An Asymptotic Analysis of Localized 3-D Spot Patterns for Gierer-Meinhardt Model: Existence, Linear Stability and Slow Dynamics

M. Ward, Juncheng Wei, D. Gomez, 2020, 2008.04535.

A time-delay in the activator kinetics enhances the stability of a spike solution to the gierer-meinhardt model

M. Ward, Juncheng Wei, N. Fadai, 2018 .

Multiple steady-state solutions in a multijunction semiconductor device

M. J. Ward, M. Ward, F. Odeh, 1991 .

Some Examples of Singular Perturbation Problems in Device Modeling

M. Ward, L. Reyna, F. Odeh, 1994 .

Weakly Nonlinear Theory for Oscillatory Dynamics in a 1-D PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field

M. Ward, W. Nagata, F. Paquin-Lefebvre, 2019, 1912.04237.

The dynamics of drops and attached interfaces for the constrained Allen–Cahn equation

B. Wetton, M. Ward, D. Stafford, 2001, European Journal of Applied Mathematics.

Spot patterns in the 2‐D Schnakenberg model with localized heterogeneities

M. Ward, Tony Wong, 2020, Studies in Applied Mathematics.

Diffusion of Protein Receptors on a Cylindrical Dendritic Membrane with Partially Absorbing Traps

Paul C. Bressloff, Michael J. Ward, Berton A. Earnshaw, 2008, SIAM J. Appl. Math..

Summing Logarithmic Expansions for Elliptic Equations in Multiply-Connected Domains with Small Holes

Michèle S. Titcombe, M. Ward, 1999 .

Mathematical modelling of crime and security: Special Issue of EJAM

Shane D. Johnson, A. Bertozzi, M. Ward, 2016, European Journal of Applied Mathematics.

Synchronous oscillations for a coupled cell-bulk ODE–PDE model with localized cells on $${\mathbb {R}}^2$$ R 2

M. Ward, J. Gou, S. Iyaniwura, 2021 .

Localised signalling compartments in 2D coupled by a bulk diffusion field: Quorum sensing and synchronous oscillations in the well-mixed limit

M. Ward, S. Iyaniwura, 2020, European Journal of Applied Mathematics.

WEAKLY NONLINEAR ANALYSIS OF PEANUT-SHAPED

M. Ward, 2020 .

Detection of Orbital Period in the Wolf-Rayet X-ray Binary IC 10 X-1

A. Pollock, M. Ward, T. Roberts, 2006 .

Localized Spot Patterns on the Sphere for Reaction-Diffusion Systems: Theory and Open Problems

Philippe H. Trinh, M. Ward, A. Jamieson-Lane, 2016 .

An Asymptotic Analysis of a 2-D Model of Dynamically Active Compartments Coupled by Bulk Diffusion

M. Ward, J. Gou, 2016, Journal of Nonlinear Science.

Asymptotic Analysis of First Passage Time Problems Inspired by Ecology

J. Tzou, M. Ward, D. Coombs, 2015, Bulletin of mathematical biology.

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

Alan E. Lindsay, Michael J. Ward, Andrew J. Bernoff, 2017, Multiscale Model. Simul..

The Stability of Localized Spot Patterns for the Brusselator on the Sphere

Steven J. Ruuth, Michael J. Ward, Ignacio Rozada, 2014, SIAM J. Appl. Dyn. Syst..

Under Consideration for Publication in the Siam Journal of Applied Math the Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem

Alan E. Lindsay, Michael J. Ward, Theodore Kolokolnikov, 2022 .

An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part II: The Sphere

Michael J. Ward, Alexei F. Cheviakov, Ronny Straube, 2010, Multiscale Model. Simul..

Application of Quasi-Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors

L. Edelstein-Keshet, M. Ward, C. Zmurchok, 2017, Bulletin of mathematical biology.

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

Juncheng Wei, Michael J. Ward, Theodore Kolokolnikov, 2009, J. Nonlinear Sci..

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

Daniel Coombs, Michael J. Ward, Ronny Straube, 2009, SIAM J. Appl. Math..

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

Michael J. Ward, Alexei F. Cheviakov, M. Ward, 2011, Math. Comput. Model..

Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems

Michael J. Ward, Joseph B. Keller, William D. Heshaw, 1993, SIAM J. Appl. Math..

An Explicitly Solvable Nonlocal Eigenvalue Problem and the Stability of a Spike for a Sub-Diffusive Reaction-Diffusion System

Michael J. Ward, Yana Nec, M. Ward, 2013 .

The Slow Dynamics of Two-Spike Solutions for the Gray-Scott and Gierer-Meinhardt Systems: Competition and Oscillatory Instabilities

Wentao Sun, Michael J. Ward, Robert Russell, 2005, SIAM J. Appl. Dyn. Syst..

An Asymptotic Analysis of Intracellular Signaling Gradients Arising from Multiple Small Compartments

Michael J. Ward, Ronny Straube, M. Ward, 2009, SIAM J. Appl. Math..

A Hybrid Method for Low Reynolds Number Flow Past an Asymmetric Cylindrical Body

Michèle S. Titcombe, M. Ward, M. Kropinski, 2000 .

A Hybrid Method for Low Reynolds Number Flow Past anAsymmetric

M. Ward, M. Kropinski, S. Titcombe, 1999 .

A Hybrid Asymptotic-Numerical Method for Low Reynolds Number Flows Past a Cylindrical Body

Mary Catherine A. Kropinski, Michael J. Ward, Joseph B. Keller, 1995, SIAM J. Appl. Math..

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

M. Ward, T. Kolokolnikov, Juncheng Wei, 2005 .

A Metastable Spike Solution for a Nonlocal Reaction-Diffusion Model

Michael J. Ward, David Iron, M. Ward, 2000, SIAM J. Appl. Math..

Strong Localized Perturbations of Eigenvalue Problems

Michael J. Ward, Joseph B. Keller, J. Keller, 1993, SIAM J. Appl. Math..

Pattern forming systems coupling linear bulk diffusion to dynamically active membranes or cells

M. Ward, D. Gomez, S. Iyaniwura, 2021, Philosophical Transactions of the Royal Society A.

Synchronized Oscillatory Dynamics for a 1-D Model of Membrane Kinetics Coupled by Linear Bulk Diffusion

Michael J. Ward, J. Gou, Y. X. Li, 2015, SIAM J. Appl. Dyn. Syst..

An Asymptotic Analysis of a 2-D Model of Dynamically Active Compartments Coupled by Bulk Diffusion

Michael J. Ward, J. Gou, M. Ward, 2015, J. Nonlinear Sci..

Synchrony and Oscillatory Dynamics for a 2-D PDE-ODE Model of Diffusion-Mediated Communication between Small Signaling Compartments

Michael J. Ward, Sarafa A. Iyaniwura, M. Ward, 2021, SIAM J. Appl. Dyn. Syst..

Under Consideration for Publication in the Siam J. Multiscale Analysis and Simulation Conditional Mean First Passage times to Small Traps in a 3-d Domain with a Sticky Boundary: Applications to T Cell Searching Behaviour in Lymph Nodes

Daniel Coombs, Michael J. Ward, Monica I. Delgado, 2022 .

An Asymptotic Study of Oxygen Transport from Multiple Capillaries to Skeletal Muscle Tissue

Michael J. Ward, Michèle S. Titcombe, M. Ward, 2000, SIAM J. Appl. Math..

Metastability for a generalized Burgers equation with applications to propagating flame fronts

Michael J. Ward, M. Ward, X. Sun, 1999, European Journal of Applied Mathematics.

On the Asymptotic and Numerical Analysis of Exponentially Ill-Conditioned Singularly Perturbed Bound

June-Yub Lee, M. Ward, 1995 .

A hybrid asymptotic-numerical method for calculating drag coefficients in 2-D low Reynolds number flows

M. Ward, Sarah Hormozi, 2014, Journal of Engineering Mathematics.

The stability and dynamics of a spike in the 1D Keller–Segel model

Michael J. Ward, Kyungkeun Kang, T. Kolokolnikov, 2007 .

DIFFUSION AND BIFURCATION PROBLEMS IN SINGULARLY PERTURBED DOMAINS

M. Ward, 2000 .

The Stability and Dynamics of a Spike in the One-Dimensional Keller-Segel model

M. Ward, T. Kolokolnikov, K. Kang, 2005 .

Metastable travelling-wave solutions of singularly-perturbed reaction-diffusion equations

Jacques G. L. Laforgue, M. Ward, R. O'Malley, 1998, European Journal of Applied Mathematics.

Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches

Alan R. Champneys, Michael J. Ward, Victor Brena-Medina, 2014, SIAM J. Appl. Dyn. Syst..

Application of Quasi-Steady-State Methods to Nonlinear Models of Intracellular Transport by Molecular Motors

L. Edelstein-Keshet, M. Ward, C. Zmurchok, 2017, Bulletin of Mathematical Biology.

Symmetry-breaking bifurcations for compartmental reaction kinetics coupled by two bulk diffusing species with comparable diffusivities in 2-D

M. Ward, M. Pelz, 2023, Frontiers in Applied Mathematics and Statistics.

Weakly Nonlinear Theory for Oscillatory Dynamics in a One-Dimensional PDE-ODE Model of Membrane Dynamics Coupled by a Bulk Diffusion Field

Frédéric Paquin-Lefebvre, Wayne Nagata, Michael Jeffrey Ward, 2020, SIAM J. Appl. Math..

Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System

Michael J. Ward, Frédéric Paquin-Lefebvre, Wayne Nagata, 2018, SIAM J. Appl. Dyn. Syst..

The Stability of Steady-State Hot-Spot Patterns for a Reaction-Diffusion Model of Urban Crime

Michael J. Ward, Juncheng Wei, Theodore Kolokolnikov, 2012, 1201.3090.

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

W. Chen, Michael J. Ward, M. Ward, 2010, SIAM J. Appl. Dyn. Syst..

The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model

Michael J. Ward, S. Xie, J. C. Tzou, 2017, SIAM J. Appl. Dyn. Syst..

Thermal runaway and microwave heating in thin cylindrical domains

M. Ward, 2002 .

Dynamics of patchy vegetation patterns in the two-dimensional generalized Klausmeier model

M. Ward, Tony Wong, 2022, Discrete & Continuous Dynamical Systems - S.

Asymptotics of Some Nonlinear Eigenvalue Problems for a MEMS Capacitor: Part I: Fold Point Asymptotics

Alan E. Lindsay, Michael J. Ward, M. Ward, 2008 .

in Nonlinear Partial Differential Equations : Part

M. Ward, Zongming Guo, Li Ma, 2011 .

Under Consideration for Publication in Euro. Jnl of Applied Mathematics Hopf Bifurcation of Spike Solutions for the Shadow Gierer-meinhardt Model

M. Ward, Juncheng Wei, 2022 .

Hopf Bifurcations and Oscillatory Instabilities of Spike Solutions for the One-Dimensional Gierer-Meinhardt Model

Juncheng Wei, Michael J. Ward, M. Ward, 2003, J. Nonlinear Sci..

A two-dimensional metastable flame-front and a degenerate spike-layer problem

M. Ward, A. Cheviakov, 2007 .

Bifurcation of spike equilibria in the near-shadow Gierer-Meinhardt model

M. Ward, T. Kolokolnikov, 2004 .

Reduced wave Green's functions and their effect on the dynamics of a spike for the Gierer–Meinhardt model

Michael J. Ward, Theodore Kolokolnikov, M. Ward, 2003, European Journal of Applied Mathematics.

Logarithmic Expansions and the Stability of Periodic Patterns of Localized Spots for Reaction–Diffusion Systems in $${\mathbb {R}}^2$$R2

Juncheng Wei, Michael J. Ward, David Iron, 2013, J. Nonlinear Sci..

The Stability of a Stripe for the Gierer-Meinhardt Model and the Effect of Saturation

Juncheng Wei, Wentao Sun, Michael J. Ward, 2006, SIAM J. Appl. Dyn. Syst..

Transition to Blow-up in a Reaction-Diffusion Model with Localized Spike Solutions

V. Rottschäfer, J. Tzou, M. Ward, 2016 .

Dynamics and Coarsening of Interfaces for the Viscous Cahn—Hilliard Equation in One Spatial Dimension

Michael J. Ward, M. Ward, Xiaodi Sun, 2000 .

Metastable Bubble Solutions for the Allen-Cahn Equation with Mass Conservation

Michael J. Ward, M. Ward, 1996, SIAM J. Appl. Math..

Resolving weak internal layer interactions for the Ginzburg–Landau equation

M. Ward, L. Reyna, 1994, European Journal of Applied Mathematics.

Exponetially III-Conditioned Canvection-Diffusion Equations in Multi-Dimensional Domains

M. Ward, Xiaodi Sun, 2001 .

Topics in Singular Perturbations and Hybrid Asymptotic-numerical Methods

M. Ward, 1995 .

Metastable Patterns, Layer Collapses, and Coarsening for a One‐Dimensional Ginzburg‐Landau Equation

M. Ward, 1994 .

Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation

Michael J. Ward, Daniele Avitabile, Victor F. Brena-Medina, 2017, bioRxiv.

Stripe to Spot Transition in a Plant Root Hair Initiation Model

Alan R. Champneys, Michael J. Ward, Daniele Avitabile, 2014, SIAM J. Appl. Math..

Nonlinear Eigenvalue Problems under Strong Localized Perturbations with Applications to Chemical Reactors

J. Keller, M. Ward, 1991 .

The Dynamics and Pinning of a Spike for a Reaction-Diffusion System

David Gavaghan, Paul Houston, Michael J. Ward, 2002, SIAM J. Appl. Math..

Existence, Stability and Slow Dynamics of Spikes in a 1D Minimal Keller–Segel Model with Logistic Growth

M. Ward, Juncheng Wei, Fanze Kong, 2023, Journal of Nonlinear Science.

The Existence and Stability of Spike Patterns in a Chemotaxis Model

Juncheng Wei, Michael J. Ward, Brian D. Sleeman, 2005, SIAM J. Appl. Math..

Eliminating indeterminacy for localized solutions to reaction-diffusion equations in multidimensional domains

M. Ward, 1996 .

An Asymptotic Analysis of Localized Solutions for Some Reaction‐Diffusion Models in Multidimensional Domains

Michael J. Ward, M. Ward, 1996 .

On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems

Michael J. Ward, June-Yub Lee, M. Ward, 1995 .

Oscillatory Dynamics for a Coupled Membrane-Bulk Diffusion Model with Fitzhugh-Nagumo Membrane Kinetics

Michael J. Ward, J. Gou, M. Ward, 2016, SIAM J. Appl. Math..

Asymptotics of the principal eigenvalue of the Laplacian in 2D periodic domains with small traps

M. J. Ward, F. Paquin-Lefebvre, S. Iyaniwura, 2021 .

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

Michael J. Ward, Juncheng Wei, M. Ward, 2002, European Journal of Applied Mathematics.

Exponential Asymptotics and Convection-Diffusion-Reaction Models

Michael J. Ward, M. Ward, 1999 .

Eliminating Indeterminacy in Singularly Perturbed Boundary Value Problems with Translation Invariant Potentials

M. Ward, 1992 .

The dynamics of drops and attached interfaces for the constrained Allen–Cahn equation

B. Wetton, M. Ward, D. Stafford, 2001, European Journal of Applied Mathematics.