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Graeme Wake
Articles in Scholarly Journals [Incomplete List]
Long-term coexistence for a competitive system of spatially varying gradient reaction–diffusion equations
Nonlinear Analysis: Real World Applications, vol. 10, no. 1, pp. 93–103, 2009
A mathematical model for pollution in a river and its remediation by aeration
Applied Mathematics Letters, 2008
The steady-states of a multi-compartment, age–size distribution model of cell-growth
European Journal of Applied Mathematics, vol. 19, no. 04, 2008
A mollified method for the solution of the Cauchy problem for the convection-diffusion equation
Inverse Problems in Science and Engineering, vol. 15, no. 4, pp. 293–302, 2007
Solutions of inverse problems with potential application for breast tumour detection using microwave measurements
Computational and Mathematical Methods in Medicine, vol. 8, no. 4, pp. 245–261, 2007
Statistics and Applied Probability: A Tribute to Jeffrey J. Hunter
Journal of Applied Mathematics and Decision Sciences, vol. 2007, Article ID 57619, 4 pages, 2007
Self-heating in compost piles due to biological effects
Chemical Engineering Science, vol. 62, no. 17, pp. 4612–4619, 2007
A bifurcation analysis of a simple phytoplankton and zooplankton model
Mathematical and Computer Modelling, vol. 45, no. 3-4, pp. 449–458, 2007
The distribution of urine deposited on a pasture from grazing animals
The Journal of Agricultural Science, vol. 145, no. 01, p. 81, 2007
Ecological pricing and transformity: A solution method for systems rarely at general equilibrium
Ecological Economics, vol. 56, no. 3, pp. 412–423, 2006
A lattice Boltzmann-based model of plankton–flow interaction around a mussel cluster
Ecological Modelling, vol. 192, no. 3-4, pp. 645–657, 2006
On a functional equation model of transient cell growth
Mathematical Medicine and Biology, vol. 22, no. 4, pp. 371–390, 2005
Targeted Glycemic Reduction in Critical Care Using Closed-Loop Control
Diabetes Technology
Therapeutics, vol. 7, no. 2, pp. 274–282, 2005
Impact of control on agitation–sedation dynamics
Control Engineering Practice, vol. 13, no. 9, pp. 1139–1149, 2005
Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison
Bulletin of Mathematical Biology, vol. 67, no. 4, pp. 815–830, 2005
Erratum to “Modelling the flow cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison” [Bull. Math. Biol. 67 (2005) 815–830]
Bulletin of Mathematical Biology, vol. 67, no. 5, pp. 1153–1153, 2005
Adaptive bolus-based targeted glucose regulation of hyperglycaemia in critical care
Medical Engineering & Physics, vol. 27, no. 1, pp. 1–11, 2005
The existence of steady states to a combustion model with internal heating
Nonlinear Analysis: Real World Applications, vol. 5, no. 3, pp. 421–439, 2004
Modelling cell population growth with applications to cancer therapy in human tumour cell lines
Progress in Biophysics and Molecular Biology, vol. 85, no. 2-3, pp. 353–368, 2004
Analysis of a predator–prey system with predator switching
Bulletin of Mathematical Biology, vol. 66, no. 1, pp. 109–123, 2004
Minimal haemodynamic system model including ventricular interaction and valve dynamics
Medical Engineering & Physics, vol. 26, no. 2, pp. 131–139, 2004
Modeling and control of the agitation–sedation cycle for critical care patients
Medical Engineering & Physics, vol. 26, no. 6, pp. 459–471, 2004
A natural boundary for solutions to the second order pantograph equation
Journal of Mathematical Analysis and Applications, vol. 299, no. 2, pp. 314–321, 2004
Holomorphic solutions to pantograph type equations with neutral fixed points
Journal of Mathematical Analysis and Applications, vol. 295, no. 2, pp. 557–569, 2004
Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel
Journal of Mathematical Biology, vol. 49, no. 4, pp. 329–357, 2004
An Eigenvalue problem for holomorphic solutions to a certain class of functional differential equations
European Journal of Applied Mathematics, vol. 14, no. 5, pp. 571–585, 2003
A mathematical model for analysis of the cell cycle in cell lines derived from human tumors
Journal of Mathematical Biology, vol. 47, no. 4, pp. 295–312, 2003
Core bulk of wool fibres as a function of their curvature and diameter
Physics Letters A, vol. 314, no. 5-6, pp. 428–433, 2003
Analysis of a class of distributed delay logistic differential equations
Mathematical and Computer Modelling, vol. 38, no. 1-2, pp. 123–132, 2003
The evolution of a truncated gaussian probability density through time?modelling animal liveweights after selection
Mathematical and Computer Modelling, vol. 38, no. 11-13, pp. 1461–1468, 2003
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
Applied Mathematics Letters, vol. 15, no. 8, pp. 955–960, 2002
Influence of Milking Frequency on Mammary Gland Dynamics
Journal of Theoretical Biology, vol. 218, no. 4, pp. 521–530, 2002
A delay model for the growth of ryegrass–clover mixtures: formulation and preliminary simulations
Ecological Modelling, vol. 155, no. 1, pp. 31–42, 2002
Natural Boundaries for Solutions to a Certain Class of Functional Differential Equations
Journal of Mathematical Analysis and Applications, vol. 268, no. 1, pp. 157–170, 2002
Active insulin infusion using optimal and derivative-weighted control
Medical Engineering & Physics, vol. 24, no. 10, pp. 663–672, 2002
Banded chaos in power systems
IEEE Transactions on Power Delivery, vol. 16, no. 1, pp. 105–110, 2001
On a singular Sturm-Liouville problem involving an advanced functional differential equation
European Journal of Applied Mathematics, vol. 12, no. 06, p. 625, 2001
Variational methods for boundary value problems
Journal of Applied Mathematics and Decision Sciences, vol. 4, no. 2, pp. 193–204, 2000
Heterogeneously catalysed combustion in a continuously stirred tank reactor—low-temperature reactions
Combustion Theory and Modelling, vol. 4, no. 1, pp. 1–27, 2000
Analysis of the impact of stoats, Mustela erminea, on northern brown kiwi, Apteryx mantelli, in New Zealand
Wildlife Research, vol. 26, no. 2, p. 227, 1999
Modelling spontaneous combustion in wet lignite
Combustion Theory and Modelling, vol. 3, no. 2, pp. 215–232, 1999
Global properties of the three-dimensional predator-prey Lotka-Volterra systems
Journal of Applied Mathematics and Decision Sciences, vol. 3, no. 2, pp. 155–162, 1999
A dynamical systems model of the interaction of earthworms with plant litter quality and quantity
Agricultural Systems, vol. 59, no. 1, pp. 27–39, 1999
Radiative ignition of combustible materials I. Polymeric materials undergoing nonflaming thermal degradation?the critical storage problem*1
Mathematical and Computer Modelling, vol. 30, no. 11-12, pp. 177–195, 1999
Critical initial conditions for spontaneous thermal ignition
Journal of the Chemical Society, Faraday Transactions, vol. 94, no. 24, pp. 3613–3617, 1998
Analysis of the bifurcational behaviour of a simple model of vapour ignition in porous material
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 453, no. 1957, pp. 281–301, 1997
Multiple solutions in hollow geometries in the theory of thermal ignition
Applied Mathematics Letters, vol. 10, no. 5, pp. 41–46, 1997
Theory and use of functionals on the class of nonnegative polynomials and quadrature formulae
Mathematical and Computer Modelling, vol. 25, no. 6, pp. 45–55, 1997
Modelling pasture mass through time in a managed grazing system subject to perturbations resulting from complexity in natural biological processes
Agricultural Systems, vol. 53, no. 2-3, pp. 191–208, 1997
Critical values for some non-class A geometries in thermal ignition theory
Mathematical and Computer Modelling, vol. 24, no. 8, pp. 1–10, 1996
Gel'fand's equation in spherical domains: II. Further results and the spherical annulus revisited
Mathematical and Computer Modelling, vol. 24, no. 8, pp. 47–54, 1996
Revisiting spontaneous ignition of solids with diminishing reaction rates
AIChE Journal, vol. 42, no. 8, pp. 2388–2391, 1996
The relaxation of May's conjecture for the logistic equation
Applied Mathematics Letters, vol. 9, no. 5, pp. 59–62, 1996
Self-ignition of solids with diminishing reaction rates. Exact comparison between the results predicted using time-dependent and surface-oxygen absorption-dependent reaction rate
Journal of the Chemical Society, Faraday Transactions, vol. 92, no. 16, p. 2977, 1996
The ignition of combustible material in the presence of a damp atmosphere
Physics Letters A, vol. 191, no. 1-2, pp. 61–70, 1994
The regulation of a dispersive age-structured population by a fatal disease
Applied Mathematics Letters, vol. 7, no. 4, pp. 79–83, 1994
A differential-delay model of pasture accumulation and loss in controlled grazing systems
Mathematical Biosciences, vol. 121, no. 1, pp. 37–60, 1994
Path-following for disjoint bifurcation problems arising in ignition theory
Mathematical and Computer Modelling, vol. 19, no. 9, pp. 9–15, 1994
A simple model for optimizing rotational grazing
Agricultural Systems, vol. 41, no. 2, pp. 123–155, 1993
Critical initial conditions for thermal ignition
Mathematical and Computer Modelling, vol. 18, no. 8, pp. 65–75, 1993
Multiplicity of solutions of a quasilinear elliptic equation in spherical domains
Mathematical and Computer Modelling, vol. 18, no. 10, pp. 157–162, 1993
Comparison Theorems for Coupled Reaction-Diffusion Equations in Chemical Reactor Analysis
Journal of Mathematical Analysis and Applications, vol. 178, no. 1, pp. 196–220, 1993
The self-heating of damp cellulosic materials: II. On the steady states of the spatially distributed case
IMA Journal of Applied Mathematics, vol. 50, no. 3, pp. 285–306, 1993
The self-heating of damp cellulosic materials: I. High thermal conductivity and diffusivity
IMA Journal of Applied Mathematics, vol. 49, no. 3, pp. 273–291, 1992
Outputs and time lags for linear bioreactors
Mathematical and Computer Modelling, vol. 16, no. 12, pp. 109–120, 1992
The prediction of a practical lower bound for ignition delay times and a method of scaling times-to-ignition in large reactant masses from laboratory data-II
Symposium (International) on Combustion, vol. 24, no. 1, pp. 1785–1791, 1992
A simple method for obtaining good bounds for solutions of reaction-diffusion equations with nonlinear kinetics
Chemical Engineering Science, vol. 46, no. 1, pp. 49–55, 1991
Disjoint bifurcation diagrams in combustion systems
Mathematical and Computer Modelling, vol. 15, no. 11, pp. 25–33, 1991
Multiplicity of steady state solutions for combustion in a solid sphere with arbitrary Biot number
Physics Letters A, vol. 153, no. 1, pp. 16–20, 1991
Picoplankton and marine food chain dynamics in a variable mixed-layer: a reaction-diffusion model
Ecological Modelling, vol. 57, no. 3-4, pp. 193–219, 1991
Heat Conduction and Finite Measures for Transition Times between Steady States
IMA Journal of Applied Mathematics, vol. 47, no. 2, pp. 193–206, 1991
Inverse Problems, vol. 7, no. 4, pp. 633–642, 1991
Mathematical Analysis: An Inverse Problem Arising in Convective-Diffusive Flow
IMA Journal of Applied Mathematics, vol. 45, no. 3, pp. 225–231, 1990
Effect of deposition of combustible matter onto electric power cables
Fire Safety Journal, vol. 16, no. 6, pp. 459–467, 1990
The ignition of hygroscopic combustible materials by water
Combustion and Flame, vol. 79, no. 1, pp. 2–6, 1990
The dynamics of a model of a plankton-nutrient interaction
Bulletin of Mathematical Biology, vol. 52, no. 5, pp. 677–696, 1990
A numerical scheme for solving a stream nutrient model
Applied Mathematical Modelling, vol. 13, no. 3, pp. 155–159, 1989
Determination of Critical Ambient Temperatures for Thermal Ignition
IMA Journal of Applied Mathematics, vol. 42, no. 2, pp. 147–154, 1989
Addendum to ‘On the Existence and Stability of Spatially Structured Solutions of the Reaction-Diffusion Equations‘
IMA Journal of Applied Mathematics, vol. 40, no. 2, pp. 145–146, 1988
On the determination of critical ambient temperatures and critical initial temperatures for thermal ignition
Combustion and Flame, vol. 71, no. 1, pp. 101–104, 1988
On the Existence and Stability of Spatially Structured Solutions of the Reaction-Diffusion Equations
IMA Journal of Applied Mathematics, vol. 37, no. 1, pp. 25–35, 1986
Theory of Thermal Explosions with Simultaneous Parallel Reactions. II. The Two- and Three-Dimensional Cases and the Variational Method
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 401, no. 1820, pp. 195–202, 1985
Friction and localized heat initiation of ignition: The asymmetrical slab and cylindrical annulus
Combustion and Flame, vol. 61, no. 2, pp. 177–187, 1985
Criticality in the infinite slab and cylinder with surface heat sources
Combustion and Flame, vol. 55, no. 1, pp. 23–30, 1984
Existence of solutions to a nonlinear boundary value problem by variational means
Journal of Mathematical Analysis and Applications, vol. 92, no. 2, pp. 581–598, 1983
Stokes Flow Between Parallel Plates due to a Trausversely Moving End Wall
IMA Journal of Applied Mathematics, vol. 30, no. 2, pp. 141–149, 1983
Thermal Ignition with Variable Thermal Conductivity
IMA Journal of Applied Mathematics, vol. 28, no. 1, pp. 23–39, 1982
The disappearance of criticality for small activation energy with arbitrary biot number
Combustion and Flame, vol. 45, pp. 287–291, 1982
On the disappearance of criticality in the theory of thermal ignition
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 33, no. 3, pp. 406–407, 1982
Criticality in a model for thermal ignition in three or more dimensions
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 32, no. 5, pp. 594–602, 1981
The disappearance of criticality in the theory of thermal ignition
Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 29, no. 6, pp. 971–976, 1978
The dependence of criticality on activation energy when reactant consumption is neglected
Combustion and Flame, vol. 33, pp. 161–168, 1978
Perturbations of the spectrum of nonlinear eigenvalue problems
Journal of Mathematical Analysis and Applications, vol. 66, no. 2, pp. 433–441, 1978
Criteria for Thermal Explosions with and without Reactant Consumption
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 357, no. 1691, pp. 403–422, 1977
Nonlinear eigenvalue problems with mixed boundary conditions
Journal of Mathematical Analysis and Applications, vol. 48, no. 3, pp. 721–735, 1974
Variational methods for nonlinear eigenvalue problems associated with thermal ignition
Journal of Differential Equations, vol. 13, no. 2, pp. 247–256, 1973
Estimation of critical parameters in thermal ignition
Combustion and Flame, vol. 21, no. 1, pp. 119–121, 1973
Uniqueness theorem for a system of parabolic differential equations
Journal of Differential Equations, vol. 6, no. 1, pp. 36–39, 1969
On comparison theorems for multicomponent diffusion systems
Journal of Mathematical Analysis and Applications, vol. 26, no. 2, pp. 292–296, 1969