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## Wake, Graeme Charles

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 Author ID: wake.graeme-charles Published as: Wake, G. C.; Wake, Graeme C.; Wake, Graeme; Wake, Graeme Charles
 Documents Indexed: 120 Publications since 1969, including 2 Books
all top 5

#### Co-Authors

 9 single-authored 19 van Brunt, Bruce 9 Gray, Brian F. 9 Wall, David J. N. 8 Balakrishnan, Easwaran 6 Basse, Britta 6 McNabb, Alex 6 Swift, Adrian 5 Lacey, Andrew A. 5 Pleasants, A. B. 5 Roberts, Michael George 5 Zaidi, Ali Ashher 4 Baguley, Bruce C. 4 Burnell, John G. 4 Louie, Kenway 4 Marshall, Elaine S. 4 Marshall, Jonathan C. 3 Begg, Ronald 3 Graham-Eagle, James 3 Hall, Adam J. 3 Korobeinikov, Andrei 3 Parshotam, Aroon A. 2 Chew, Tuan Seng 2 Hood, Malcolm James 2 Joseph, Wayne R. 2 Kim, Hee-Kyung 2 McIntosh, Andy C. 2 Norbury, John W. 2 Sheppard, A. M. 2 Sisson, Robert Anthony 2 Suebcharoen, Teeranush 2 Sweatman, Winston L. 2 Watt, Simon D. 2 Woodward, Simon J. R. 1 Abdul Latif, Nurul S. 1 Anderson, Robert D. 1 Anderssen, Robert Scott 1 Austin, Paul C. 1 Babylon, A. M. 1 Beedle, Alan 1 Begg, R. E. 1 Ben-Tal, Alona 1 Brindley, John 1 Burnell, J. B. 1 Busenberg, Stavros N. 1 Byrne, Helen Mary 1 Cooper, Shaun 1 Cowpertwait, Paul S. P. 1 Daly, C. C. 1 Derrick, William R. 1 Edwards, Howard Paul 1 Efendiev, Messoud 1 Elmer, Philip A. G. 1 Fullard, Luke A. 1 Gandar, P. W. 1 Gluckman, P. D. 1 Gluckman, Peter 1 Gong, Rose 1 Gooch, C. 1 Guan, Jian 1 Hamzah, Norhayati 1 Harper, John F. 1 Harper, S. A. 1 Hawk, C. W. 1 Hearne, John W. 1 Heath, J. M. 1 Keam, R. B. 1 Khan, Qamar Jalil Ahmed 1 Kiataramkul, Chanakarn 1 Kumar, S. Kishore 1 Lambourne, R. D. 1 Lenbury, Yongwimon 1 Lesnic, Daniel 1 Luo, Weiwei 1 McKibbin, Robert 1 McLean, C. A. 1 McLennan, James A. jun. 1 Mercer, Geoffry Norman 1 Merkin, John H. 1 Norhayati, R. 1 Phillips, Gemma M. A. 1 Pimpunchat, Busayamas 1 Pleasants, Anthony 1 Promrak, Jairaj 1 Rae, A. L. 1 Rattanakul, Chontita 1 Rayner, Margaret E. 1 Reglinski, Tony 1 Reztsov, Andrew V. 1 Rivers, C. M. 1 Satiracoo, Pairote 1 Searle, Shayle Robert 1 Senaratne, G. G. 1 Shorten, Paul R. 1 Sidhu, Harvinder Singh 1 Soboleva, Tanya K. 1 Sweatman, C. Z. W. Hassell 1 Taylor, Stephen W. 1 Tee, Garry J. 1 Thorrold, B. S. 1 Triampo, Wannapong ...and 5 more Co-Authors
all top 5

#### Serials

 13 Mathematical and Computer Modelling 10 IMA Journal of Applied Mathematics 10 The ANZIAM Journal 8 Journal of Mathematical Analysis and Applications 7 Journal of the Australian Mathematical Society, Series B 5 Applied Mathematics Letters 5 Differential and Integral Equations 4 Bulletin of Mathematical Biology 4 IMA Journal of Mathematics Applied in Medicine and Biology 4 European Journal of Applied Mathematics 4 Journal of Applied Mathematics and Decision Sciences 3 Journal of Mathematical Biology 3 Mathematical Biosciences 3 Mathematical Biosciences and Engineering 2 The Australian Mathematical Society Gazette 2 Journal of Differential Equations 2 Combustion Theory and Modelling 2 Nonlinear Analysis. Real World Applications 2 Mathematical Medicine and Biology 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Inverse Problems 1 Journal of the Institute of Mathematics and its Applications 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Theoretical Population Biology 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Mathematical Engineering in Industry 1 Communications in Applied Analysis 1 Inverse Problems in Science and Engineering 1 Computational & Mathematical Methods in Medicine 1 Journal of Theoretical Biology 1 ISRN Probability and Statistics 1 Proceedings A. Royal Society of London
all top 5

#### Fields

 60 Partial differential equations (35-XX) 51 Biology and other natural sciences (92-XX) 29 Ordinary differential equations (34-XX) 27 Classical thermodynamics, heat transfer (80-XX) 13 Fluid mechanics (76-XX) 6 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

78 Publications have been cited 553 times in 387 Documents Cited by Year
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Zbl 1022.34044
Korobeinikov, A.; Wake, G. C.
2002
A mathematical model for analysis of the cell cycle in cell lines derived from human tumors. Zbl 1050.92028
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Joseph, Wayne R.; van Brunt, Bruce; Wake, Graeme; Wall, David J. N.
2003
The dynamics of a model of a plankton-nutrient interaction. Zbl 0704.92020
Busenberg, Stavros; Kumar, S. Kishore; Austin, Paul; Wake, Graeme
1990
A functional differential equation arising in modelling of cell growth. Zbl 0689.34063
Hall, A. J.; Wake, G. C.
1989
Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel. Zbl 1060.92035
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Joseph, Wayne R.; van Brunt, Bruce; Wake, Graeme; Wall, David J. N.
2004
Functional differential equations determining steady size distributions for populations of cells growing exponentially. Zbl 0711.92017
Hall, A. J.; Wake, G. C.
1990
Critical values for some non-class $$A$$ geometries in thermal ignition theory. Zbl 0880.35123
Balakrishnan, E.; Swift, A.; Wake, G. C.
1996
Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison. Zbl 1334.92217
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Wake, Graeme C.; Wall, David J. N.
2005
Analysis of a predator-prey system with predator switching. Zbl 1334.92347
Khan, Q. J. A.; Balakrishnan, E.; Wake, G. C.
2004
Functional differential equations for cell-growth models with dispersion. Zbl 1084.34545
Wake, Graeme C.; Cooper, Shaun; Kim, Hee-Kyung; van Brunt, Bruce
2000
On a singular Sturm-Liouville problem involving an advanced functional differential equation. Zbl 1017.34068
van Brunt, B.; Wake, G. C.; Kim, H. K.
2001
Solutions to an advanced functional partial differential equation of the pantograph type. Zbl 1371.35306
Zaidi, Ali A.; Van Brunt, B.; Wake, G. C.
2015
Steady size distributions for cells in one-dimensional plant tissues. Zbl 0739.92009
Hall, A. J.; Wake, G. C.; Gandar, P. W.
1991
Global properties of the three-dimensional predator-prey Lotka-Volterra systems. Zbl 0951.92031
Korobeinikov, A.; Wake, G. C.
1999
Holomorphic solutions to pantograph type equations with neutral fixed points. Zbl 1060.34058
van Brunt, B.; Marshall, J. C.; Wake, G. C.
2004
On a cell-growth model for plankton. Zbl 1062.92065
Basse, B.; Wake, G. C.; Wall, D. J. N.; van Brunt, B.
2004
Heat conduction and finite measures for transition times between steady states. Zbl 0767.35018
McNabb, A.; Wake, G. C.
1991
Variational methods for nonlinear eigenvalue problems associated with thermal ignition. Zbl 0238.35064
Wake, G. C.; Rayner, M. E.
1973
A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model. Zbl 1232.34108
van Brunt, B.; Wake, G. C.
2011
A model for asymmetrical cell division. Zbl 1314.35202
Zaidi, Ali Ashher; Van Brunt, Bruce; Wake, Graeme Charles
2015
Analysis of a class of distributed delay logistic differential equations. Zbl 1050.34109
Rasmussen, H.; Wake, G. C.; Donaldson, J.
2003
Disjoint bifurcation diagrams in combustion systems. Zbl 0758.35083
Gray, B. F.; Merkin, J. H.; Wake, G. C.
1991
Natural boundaries for solutions to a certain class of functional differential equations. Zbl 1009.34056
Marshall, J. C.; van Brunt, B.; Wake, G. C.
2002
The self-heating of damp cellulosic materials. I: High thermal conductivity and diffusivity. Zbl 0773.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
1992
Stokes flow between parallel plates due to a transversely moving end wall. Zbl 0526.76046
Harper, J. F.; Wake, G. C.
1983
Nonlinear eigenvalue problems. Zbl 0305.35074
Fradkin, L. Ju.; Wake, G. C.
1975
The critical explosion parameter in the theory of thermal ignition. Zbl 0381.73005
Fradkin, L. Ju.; Wake, G. C.
1977
On a multicompartment age-distribution model of cell growth. Zbl 1205.92013
Begg, Ronald; Wall, David J. N.; Wake, Graeme C.
2010
Steady states of the reaction-diffusion equations. I: Questions of existence and continuity of solution branches. Zbl 0508.35033
Burnell, J. G.; Lacey, A. A.; Wake, G. C.
1983
Mathematical analysis: An inverse problem arising in convective-diffusive flow. Zbl 0726.76090
Smith, W. R.; Wake, G. C.
1990
Asymmetric cell division in a size-structured growth model. Zbl 1249.92001
Suebcharoen, T.; Van Brunt, B.; Wake, G. C.
2011
The self-heating of damp cellulosic materials. II: On the steady states of the spatially distributed case. Zbl 0781.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
1993
Critical initial conditions for thermal ignition. Zbl 0792.35098
Gray, B. F.; Wake, G. C.
1993
Path-following for disjoint bifurcation problems arising in ignition theory. Zbl 0799.35023
Balakrishnan, E.; Swift, A.; Wake, G. C.
1994
Critical initial conditions for spatially-distributed thermal explosions. Zbl 0773.35031
Lacey, A. A.; Wake, G. C.
1992
On retarded functional differential equations and Henstock-Kurzweil integrals. Zbl 0873.34054
Chew, Tuan Seng; van-Brunt, B.; Wake, G. C.
1996
A mathematical model for pollution in a river and its remediation by aeration. Zbl 1154.76369
Pimpunchat, Busayamas; Sweatman, Winston L.; Wake, Graeme C.; Triampo, Wannapong; Parshotam, Aroon
2009
The solution and the stability of a nonlinear age-structured population model. Zbl 1037.92044
Norhayati; Wake, G. C.
2003
Probability density function solutions to a Bessel type pantograph equation. Zbl 1357.34132
Zaidi, Ali A.; van Brunt, Bruce; Wake, Graeme C.
2016
Thresholds and stability analysis of models for the spatial spread of a fatal disease. Zbl 0784.92022
Louie, K.; Roberts, M. G.; Wake, G. C.
1993
A new scaling of a problem in combustion theory. Zbl 0742.35032
Wake, G. C.; Burnell, J. B.; Graham-Eagle, J. G.; Gray, B. F.
1990
The regulation of an age-structured population by a fatal disease. Zbl 0812.92019
Louie, K.; Roberts, M. G.; Wake, G. C.
1994
On a functional equation model of transient cell growth. Zbl 1080.92025
Begg, Ronald; Wall, David J. N.; Wake, Graeme C.
2005
A functional partial differential equation arising in a cell growth model with dispersion. Zbl 1390.35117
Efendiev, Messoud; van Brunt, Bruce; Wake, Graeme C.; Zaidi, Ali Ashher
2018
The steady-states of a multi-compartment, age-size distribution model of cell-growth. Zbl 1182.92021
Begg, R. E.; Wall, D. J. N.; Wake, G. C.
2008
Steady states of the reaction-diffusion equations. II: Uniqueness of solutions and some special cases. Zbl 0515.35030
Burnell, J. G.; Lacey, A. A.; Wake, G. C.
1983
A natural boundary for solutions to the second order pantograph equation. Zbl 1066.34067
Marshall, J. C.; van-Brunt, B.; Wake, G. C.
2004
The existence of steady states to a combustion model with internal heating. Zbl 1206.35147
Shah, A. A.; Wake, G. C.
2004
Calculus from the past: multiple delay systems arising in cancer cell modelling. Zbl 1312.34126
Wake, G. C.; Byrne, H. M.
2013
Spatial pattern formation for steady states of a population model. Zbl 0774.92025
Norbury, J.; Wake, G. C.
1993
Multiplicity of solutions of a quasilinear elliptic equation in spherical domains. Zbl 0792.35062
Wake, G. C.; Hood, M. J.
1993
McNabb, A.; Wake, G. C.; Lambourne, R. D.; Anderssen, R. S.
1991
First-order partial differential equations and Henstock-Kurzweil integrals. Zbl 0890.35025
Chew, T. S.; Van-Brunt, B.; Wake, G. C.
1997
The relaxation of May’s conjecture for the logistic equation. Zbl 0907.34041
Wake, G. C.; Watt, S. D.
1996
A bifurcation analysis of a simple phytoplankton and zooplankton model. Zbl 1169.92045
Hamzah, Norhayati; Ross, A.; Wake, G. C.
2007
On the stability of steady size-distributions for a cell-growth process with dispersion. Zbl 1224.92002
Begg, Ronald; Wall, David J. N.; Wake, Graeme C.
2008
Modelling leptospirosis in livestock. Zbl 1397.92616
Babylon, A. M.; Roberts, M. G.; Wake, G. C.
2018
Modelling spontaneous combustion in wet lignite. Zbl 0939.80505
Gong, Rose; Burnell, John G.; Wake, Graeme C.
1999
Radiative ignition of combustible materials. I: Polymeric materials undergoing nonflaming thermal degradation—the critical storage problem. Zbl 1042.80501
Balakrishnan, E.; Nelson, M. I.; Wake, G. C.
1999
Non-linear heat generation with reactant consumption. Zbl 0222.35040
Wake, G. C.
1971
Thermal ignition with variable thermal conductivity. Zbl 0481.35018
Lacey, A. A.; Wake, G. C.
1982
The evolution of a truncated Gaussian probability density through time-modelling animal liveweights after selection. Zbl 1043.92045
Wake, G. C.; Soboleva, T. K.; Pleasants, A. B.
2003
An eigenvalue problem for holomorphic solutions to a certain class of functional differential equations. Zbl 1069.34089
Van Brunt, B.; Marshall, J. C.; Wake, G. C.
2003
Uniqueness theorem for a system of parabolic differential equations. Zbl 0175.11502
Wake, G. C.
1969
Predation thresholds for survival of endangered species. Zbl 0888.92035
Basse, B.; Wake, G. C.; McLennan, J. A.
1997
Linear models with response functions based on the Laplace distribution: statistical formulae and their application to epigenomics. Zbl 1367.62229
Sweatman, C. Z. W. Hassell; Wake, G. C.; Pleasants, A. B.; McLean, C. A.; Sheppard, A. M.
2013
Erratum: “Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison”. Zbl 1334.92218
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Wake, Graeme C.; Wall, David J. N.
2005
An analytical series solution to the steady laminar flow of a Newtonian fluid in a partially filled pipe, including the velocity distribution and the dip phenomenon. Zbl 1338.35360
Fullard, Luke A.; Wake, Graeme C.
2015
A cell growth model adapted for the minimum cell size division. Zbl 1334.35363
van Brunt, B.; Gul, S.; Wake, G. C.
2015
Comparison theorems for coupled reaction-diffusion equations in chemical reactor analysis. Zbl 0790.35046
Parshotam, Aroon; McNabb, Alex; Wake, Graeme
1993
A differential-delay model of pasture accumulation and loss in controlled grazing systems. Zbl 0792.92031
Woodward, Simon J. R.; Wake, Graeme C.
1994
Nonlinear eigenvalue problems with mixed boundary conditions. Zbl 0301.35034
Heath, J. M.; Wake, G. C.
1974
A mollified method for the solution of the Cauchy problem for the convection-diffusion equation. Zbl 1112.76076
Lesnic, D.; Wake, G. C.
2007
The application of a model of glucose and insulin dynamics to explain an observed effect of leptin administration in reversal of developmental programming. Zbl 1208.92017
Wake, G. C.; Pleasants, A. B.; Vickers, M. H.; Sheppard, A. M.; Gluckman, P. D.
2011
Solutions of inverse problems with potential application for breast tumour detection using microwave measurements. Zbl 1144.92024
Senaratne, G. G.; Keam, R. B.; Sweatman, W. L.; Wake, G. C.
2007
Modeling the effect of insulin-like growth factor-1 on human cell growth. Zbl 1315.92030
Phillips, Gemma M. A.; Shorten, Paul R.; Wake, Graeme C.; Guan, Jian
2015
Steady states of the reaction-diffusion equations. III: Questions of multiplicity and uniqueness of solutions. Zbl 0587.35035
Burnell, J. G.; Lacey, A. A.; Wake, G. C.
1985
Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384
Korobeinikov, Andrei; Norbury, John; Wake, Graeme C.
2009
A functional partial differential equation arising in a cell growth model with dispersion. Zbl 1390.35117
Efendiev, Messoud; van Brunt, Bruce; Wake, Graeme C.; Zaidi, Ali Ashher
2018
Modelling leptospirosis in livestock. Zbl 1397.92616
Babylon, A. M.; Roberts, M. G.; Wake, G. C.
2018
Probability density function solutions to a Bessel type pantograph equation. Zbl 1357.34132
Zaidi, Ali A.; van Brunt, Bruce; Wake, Graeme C.
2016
Solutions to an advanced functional partial differential equation of the pantograph type. Zbl 1371.35306
Zaidi, Ali A.; Van Brunt, B.; Wake, G. C.
2015
A model for asymmetrical cell division. Zbl 1314.35202
Zaidi, Ali Ashher; Van Brunt, Bruce; Wake, Graeme Charles
2015
An analytical series solution to the steady laminar flow of a Newtonian fluid in a partially filled pipe, including the velocity distribution and the dip phenomenon. Zbl 1338.35360
Fullard, Luke A.; Wake, Graeme C.
2015
A cell growth model adapted for the minimum cell size division. Zbl 1334.35363
van Brunt, B.; Gul, S.; Wake, G. C.
2015
Modeling the effect of insulin-like growth factor-1 on human cell growth. Zbl 1315.92030
Phillips, Gemma M. A.; Shorten, Paul R.; Wake, Graeme C.; Guan, Jian
2015
Calculus from the past: multiple delay systems arising in cancer cell modelling. Zbl 1312.34126
Wake, G. C.; Byrne, H. M.
2013
Linear models with response functions based on the Laplace distribution: statistical formulae and their application to epigenomics. Zbl 1367.62229
Sweatman, C. Z. W. Hassell; Wake, G. C.; Pleasants, A. B.; McLean, C. A.; Sheppard, A. M.
2013
A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model. Zbl 1232.34108
van Brunt, B.; Wake, G. C.
2011
Asymmetric cell division in a size-structured growth model. Zbl 1249.92001
Suebcharoen, T.; Van Brunt, B.; Wake, G. C.
2011
The application of a model of glucose and insulin dynamics to explain an observed effect of leptin administration in reversal of developmental programming. Zbl 1208.92017
Wake, G. C.; Pleasants, A. B.; Vickers, M. H.; Sheppard, A. M.; Gluckman, P. D.
2011
On a multicompartment age-distribution model of cell growth. Zbl 1205.92013
Begg, Ronald; Wall, David J. N.; Wake, Graeme C.
2010
A mathematical model for pollution in a river and its remediation by aeration. Zbl 1154.76369
Pimpunchat, Busayamas; Sweatman, Winston L.; Wake, Graeme C.; Triampo, Wannapong; Parshotam, Aroon
2009
Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384
Korobeinikov, Andrei; Norbury, John; Wake, Graeme C.
2009
The steady-states of a multi-compartment, age-size distribution model of cell-growth. Zbl 1182.92021
Begg, R. E.; Wall, D. J. N.; Wake, G. C.
2008
On the stability of steady size-distributions for a cell-growth process with dispersion. Zbl 1224.92002
Begg, Ronald; Wall, David J. N.; Wake, Graeme C.
2008
A bifurcation analysis of a simple phytoplankton and zooplankton model. Zbl 1169.92045
Hamzah, Norhayati; Ross, A.; Wake, G. C.
2007
A mollified method for the solution of the Cauchy problem for the convection-diffusion equation. Zbl 1112.76076
Lesnic, D.; Wake, G. C.
2007
Solutions of inverse problems with potential application for breast tumour detection using microwave measurements. Zbl 1144.92024
Senaratne, G. G.; Keam, R. B.; Sweatman, W. L.; Wake, G. C.
2007
Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison. Zbl 1334.92217
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Wake, Graeme C.; Wall, David J. N.
2005
On a functional equation model of transient cell growth. Zbl 1080.92025
Begg, Ronald; Wall, David J. N.; Wake, Graeme C.
2005
Erratum: “Modelling the flow of cytometric data obtained from unperturbed human tumour cell lines: parameter fitting and comparison”. Zbl 1334.92218
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Wake, Graeme C.; Wall, David J. N.
2005
Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel. Zbl 1060.92035
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Joseph, Wayne R.; van Brunt, Bruce; Wake, Graeme; Wall, David J. N.
2004
Analysis of a predator-prey system with predator switching. Zbl 1334.92347
Khan, Q. J. A.; Balakrishnan, E.; Wake, G. C.
2004
Holomorphic solutions to pantograph type equations with neutral fixed points. Zbl 1060.34058
van Brunt, B.; Marshall, J. C.; Wake, G. C.
2004
On a cell-growth model for plankton. Zbl 1062.92065
Basse, B.; Wake, G. C.; Wall, D. J. N.; van Brunt, B.
2004
A natural boundary for solutions to the second order pantograph equation. Zbl 1066.34067
Marshall, J. C.; van-Brunt, B.; Wake, G. C.
2004
The existence of steady states to a combustion model with internal heating. Zbl 1206.35147
Shah, A. A.; Wake, G. C.
2004
A mathematical model for analysis of the cell cycle in cell lines derived from human tumors. Zbl 1050.92028
Basse, Britta; Baguley, Bruce C.; Marshall, Elaine S.; Joseph, Wayne R.; van Brunt, Bruce; Wake, Graeme; Wall, David J. N.
2003
Analysis of a class of distributed delay logistic differential equations. Zbl 1050.34109
Rasmussen, H.; Wake, G. C.; Donaldson, J.
2003
The solution and the stability of a nonlinear age-structured population model. Zbl 1037.92044
Norhayati; Wake, G. C.
2003
The evolution of a truncated Gaussian probability density through time-modelling animal liveweights after selection. Zbl 1043.92045
Wake, G. C.; Soboleva, T. K.; Pleasants, A. B.
2003
An eigenvalue problem for holomorphic solutions to a certain class of functional differential equations. Zbl 1069.34089
Van Brunt, B.; Marshall, J. C.; Wake, G. C.
2003
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Zbl 1022.34044
Korobeinikov, A.; Wake, G. C.
2002
Natural boundaries for solutions to a certain class of functional differential equations. Zbl 1009.34056
Marshall, J. C.; van Brunt, B.; Wake, G. C.
2002
On a singular Sturm-Liouville problem involving an advanced functional differential equation. Zbl 1017.34068
van Brunt, B.; Wake, G. C.; Kim, H. K.
2001
Functional differential equations for cell-growth models with dispersion. Zbl 1084.34545
Wake, Graeme C.; Cooper, Shaun; Kim, Hee-Kyung; van Brunt, Bruce
2000
Global properties of the three-dimensional predator-prey Lotka-Volterra systems. Zbl 0951.92031
Korobeinikov, A.; Wake, G. C.
1999
Modelling spontaneous combustion in wet lignite. Zbl 0939.80505
Gong, Rose; Burnell, John G.; Wake, Graeme C.
1999
Radiative ignition of combustible materials. I: Polymeric materials undergoing nonflaming thermal degradation—the critical storage problem. Zbl 1042.80501
Balakrishnan, E.; Nelson, M. I.; Wake, G. C.
1999
First-order partial differential equations and Henstock-Kurzweil integrals. Zbl 0890.35025
Chew, T. S.; Van-Brunt, B.; Wake, G. C.
1997
Predation thresholds for survival of endangered species. Zbl 0888.92035
Basse, B.; Wake, G. C.; McLennan, J. A.
1997
Critical values for some non-class $$A$$ geometries in thermal ignition theory. Zbl 0880.35123
Balakrishnan, E.; Swift, A.; Wake, G. C.
1996
On retarded functional differential equations and Henstock-Kurzweil integrals. Zbl 0873.34054
Chew, Tuan Seng; van-Brunt, B.; Wake, G. C.
1996
The relaxation of May’s conjecture for the logistic equation. Zbl 0907.34041
Wake, G. C.; Watt, S. D.
1996
Path-following for disjoint bifurcation problems arising in ignition theory. Zbl 0799.35023
Balakrishnan, E.; Swift, A.; Wake, G. C.
1994
The regulation of an age-structured population by a fatal disease. Zbl 0812.92019
Louie, K.; Roberts, M. G.; Wake, G. C.
1994
A differential-delay model of pasture accumulation and loss in controlled grazing systems. Zbl 0792.92031
Woodward, Simon J. R.; Wake, Graeme C.
1994
The self-heating of damp cellulosic materials. II: On the steady states of the spatially distributed case. Zbl 0781.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
1993
Critical initial conditions for thermal ignition. Zbl 0792.35098
Gray, B. F.; Wake, G. C.
1993
Thresholds and stability analysis of models for the spatial spread of a fatal disease. Zbl 0784.92022
Louie, K.; Roberts, M. G.; Wake, G. C.
1993
Spatial pattern formation for steady states of a population model. Zbl 0774.92025
Norbury, J.; Wake, G. C.
1993
Multiplicity of solutions of a quasilinear elliptic equation in spherical domains. Zbl 0792.35062
Wake, G. C.; Hood, M. J.
1993
Comparison theorems for coupled reaction-diffusion equations in chemical reactor analysis. Zbl 0790.35046
Parshotam, Aroon; McNabb, Alex; Wake, Graeme
1993
The self-heating of damp cellulosic materials. I: High thermal conductivity and diffusivity. Zbl 0773.35032
Sisson, R. A.; Swift, A.; Wake, G. C.; Gray, B. F.
1992
Critical initial conditions for spatially-distributed thermal explosions. Zbl 0773.35031
Lacey, A. A.; Wake, G. C.
1992
Steady size distributions for cells in one-dimensional plant tissues. Zbl 0739.92009
Hall, A. J.; Wake, G. C.; Gandar, P. W.
1991
Heat conduction and finite measures for transition times between steady states. Zbl 0767.35018
McNabb, A.; Wake, G. C.
1991
Disjoint bifurcation diagrams in combustion systems. Zbl 0758.35083
Gray, B. F.; Merkin, J. H.; Wake, G. C.
1991
McNabb, A.; Wake, G. C.; Lambourne, R. D.; Anderssen, R. S.
1991
The dynamics of a model of a plankton-nutrient interaction. Zbl 0704.92020
Busenberg, Stavros; Kumar, S. Kishore; Austin, Paul; Wake, Graeme
1990
Functional differential equations determining steady size distributions for populations of cells growing exponentially. Zbl 0711.92017
Hall, A. J.; Wake, G. C.
1990
Mathematical analysis: An inverse problem arising in convective-diffusive flow. Zbl 0726.76090
Smith, W. R.; Wake, G. C.
1990
A new scaling of a problem in combustion theory. Zbl 0742.35032
Wake, G. C.; Burnell, J. B.; Graham-Eagle, J. G.; Gray, B. F.
1990
A functional differential equation arising in modelling of cell growth. Zbl 0689.34063
Hall, A. J.; Wake, G. C.
1989
Steady states of the reaction-diffusion equations. III: Questions of multiplicity and uniqueness of solutions. Zbl 0587.35035
Burnell, J. G.; Lacey, A. A.; Wake, G. C.
1985
Stokes flow between parallel plates due to a transversely moving end wall. Zbl 0526.76046
Harper, J. F.; Wake, G. C.
1983
Steady states of the reaction-diffusion equations. I: Questions of existence and continuity of solution branches. Zbl 0508.35033
Burnell, J. G.; Lacey, A. A.; Wake, G. C.
1983
Steady states of the reaction-diffusion equations. II: Uniqueness of solutions and some special cases. Zbl 0515.35030
Burnell, J. G.; Lacey, A. A.; Wake, G. C.
1983
Thermal ignition with variable thermal conductivity. Zbl 0481.35018
Lacey, A. A.; Wake, G. C.
1982
The critical explosion parameter in the theory of thermal ignition. Zbl 0381.73005
Fradkin, L. Ju.; Wake, G. C.
1977
Nonlinear eigenvalue problems. Zbl 0305.35074
Fradkin, L. Ju.; Wake, G. C.
1975
Nonlinear eigenvalue problems with mixed boundary conditions. Zbl 0301.35034
Heath, J. M.; Wake, G. C.
1974
Variational methods for nonlinear eigenvalue problems associated with thermal ignition. Zbl 0238.35064
Wake, G. C.; Rayner, M. E.
1973
Non-linear heat generation with reactant consumption. Zbl 0222.35040
Wake, G. C.
1971
Uniqueness theorem for a system of parabolic differential equations. Zbl 0175.11502
Wake, G. C.
1969
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#### Cited by 626 Authors

 29 Wake, Graeme Charles 16 van Brunt, Bruce 6 Basse, Britta 6 Chen, Lansun 6 Gabriel, Pierre 6 Merkin, John H. 6 Pal, Samaresh 6 Rossovskiĭ, Leonid Efimovich 6 Zaidi, Ali Ashher 5 Balakrishnan, Easwaran 5 Bhunu, Claver Pedzisai 5 Doumic, Marie 5 Jang, Sophia R.-J. 5 Misra, Arvind Kumar 5 Venturino, Ezio 5 Zubik-Kowal, Barbara 4 Baglama, James 4 Barry, Steven Ian 4 Bhattacharyya, Rakhi 4 Brindley, John 4 Hickson, Roslyn I. 4 Jiang, Daqing 4 Korobeinikov, Andrei 4 Kostomarov, Dmitrii Pavlovich 4 McIntosh, Andy C. 4 Meng, Xinzhu 4 Mercer, Geoffry Norman 4 Mukhopadhyay, Banibrata 4 Mushayabasa, Steady 4 Song, Xinyu 4 Swift, Adrian 4 Vargas-De-León, Cruz 4 Wall, David J. N. 3 Atanassov, Krassimir Todorov 3 Baguley, Bruce C. 3 Bernard, Étienne 3 Bhattacharyya, Joydeb 3 Byrne, Helen Mary 3 Chandra, Peeyush 3 Clairambault, Jean 3 Derfel, Gregory 3 Earn, David J. D. 3 Harley, Charis 3 Lahrouz, Aadil 3 Liu, Qun 3 Marshall, Jonathan C. 3 McNabb, Alex 3 Michel, Philippe 3 Momoniat, Ebrahim 3 Perthame, Benoît 3 Roberts, Michael George 3 Shukla, Jang Bahadur 3 Webb, Glenn Francis 2 Ajadi, Suraju Olusegun 2 Allen, Linda J. S. 2 Anderson, Michael L. 2 Bassom, Andrew P. 2 Chatterjee, Anal 2 Chatterjee, Samrat 2 Chen, Yuming 2 Collins, Obiora Cornelius 2 D’Agata, Erika M. C. 2 Dang Quang A 2 Daukste, Liene 2 Ddumba, H. 2 El Fatini, Mohamed 2 Fowkes, Neville Donald 2 Gaskell, Philip H. 2 Gong, Zengtai 2 Gonsalves, J. W. 2 Gray, Brian F. 2 Greenhalgh, David 2 Griffiths, J. F. 2 Hassell Sweatman, Catherine Z. W. 2 Hayat, Tasawar 2 Hoang, Manh Tuan 2 Hood, Malcolm James 2 Jiang, Yu 2 Kakumani, Bhargav Kumar 2 Kerley, G. I. H. 2 Kmeť, Tibor 2 Kopfová, Jana 2 Lei, Chengxia 2 Lesnic, Daniel 2 Liu, Xianning 2 Lynch, Tammy A. 2 Maini, Philip Kumar 2 Mao, Xuerong 2 Mischler, Stéphane 2 Molchanov, Stanislav Alekseevich 2 Mugisha, Joseph Y. T. 2 Naeem, Imran 2 Naresh, Ram 2 Nguyen Huu Du 2 Nitsche, Ludwig C. 2 Pei, Yongzhen 2 Perasso, Antoine 2 Pettersson, Roger 2 Pitchaimani, M. 2 Pressley, Joanna ...and 526 more Authors
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#### Cited in 119 Serials

 29 Applied Mathematics and Computation 22 Mathematical and Computer Modelling 17 Journal of Mathematical Analysis and Applications 17 Bulletin of Mathematical Biology 14 Journal of Mathematical Biology 14 The ANZIAM Journal 11 Nonlinear Analysis. Real World Applications 11 Journal of Theoretical Biology 10 Mathematical Methods in the Applied Sciences 9 Discrete and Continuous Dynamical Systems. Series B 8 Applied Mathematics Letters 7 Mathematical Biosciences 7 Mathematical Modelling of Natural Phenomena 6 Journal of Applied Mathematics 6 Journal of Biological Dynamics 5 Computers & Mathematics with Applications 5 Chaos, Solitons and Fractals 5 Journal of Differential Equations 5 Mathematical Problems in Engineering 5 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Biological Systems 4 Applicable Analysis 4 Journal of Computational and Applied Mathematics 4 Applied Mathematical Modelling 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Advances in Difference Equations 4 Mathematical Biosciences and Engineering 3 International Journal of Heat and Mass Transfer 3 International Journal of Mathematical Education in Science and Technology 3 Journal of Engineering Mathematics 3 Physica A 3 European Journal of Applied Mathematics 3 Doklady Mathematics 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Combustion Theory and Modelling 3 Differential Equations 3 Journal of Applied Mathematics and Computing 3 International Journal of Biomathematics 3 Nonlinear Analysis. Theory, Methods & Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Fuzzy Sets and Systems 2 Journal of Functional Analysis 2 Mathematics and Computers in Simulation 2 Theoretical Population Biology 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Dynamics and Differential Equations 2 Computational and Applied Mathematics 2 Complexity 2 Differential Equations and Dynamical Systems 2 European Journal of Mechanics. B. Fluids 2 Qualitative Theory of Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Inverse Problems in Science and Engineering 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Nonlinear Science and Applications 2 Advances in Mathematical Physics 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Theoretical and Computational Fluid Dynamics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 The Journal of Mathematical Sociology 1 Journal of Optimization Theory and Applications 1 Mathematica Slovaca 1 Meccanica 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Topology and its Applications 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Neural Networks 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Journal of Applied Mathematics and Decision Sciences 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences ...and 19 more Serials
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#### Cited in 30 Fields

 245 Biology and other natural sciences (92-XX) 162 Ordinary differential equations (34-XX) 111 Partial differential equations (35-XX) 46 Dynamical systems and ergodic theory (37-XX) 39 Numerical analysis (65-XX) 31 Classical thermodynamics, heat transfer (80-XX) 27 Probability theory and stochastic processes (60-XX) 23 Fluid mechanics (76-XX) 20 Systems theory; control (93-XX) 18 Integral equations (45-XX) 17 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)