Edwards, Maureen

Research Areas

0102 - APPLIED MATHEMATICS

Research Overview

Dr Maureen Edwards is a senior lecturer in the School of Mathematics and Applied Statistics.

Dr Edwards completed a PhD in Applied Mathematics from the University of Wollongong in 1997, and has been a supervisor for four completed PhD students in various Applied Mathematics topics.

Broad areas of research:

applied mathematics, with particular interest in developing and solving mathematical models, often involving nonlinear partial differential equations motivated by biological invasion and population dynamics;

the application of Lie symmetry techniques to classes of nonlinear differential equations, in particular nonlinear reaction-diffusion equations.

Member Of

Selected Publications

Journal Article

Year	Title
2022	A mathematical model for the activated sludge process with a sludge disintegration unit Published In Chemical Product and Process Modeling
2020	Exploring nonlinear diffusion equations for modelling dye-sensitized solar cells Published In Entropy
2019	Quadratic autocatalysis with non-linear decay. II: the effect of incomplete mixing Published In SN Applied Sciences
2016	Nonlinear diffusion and viral spread through the leaf of a plant Published In Zeitschrift fur Angewandte Mathematik und Physik
2015	A semi-analytical analysis of the stability of the reversible Selkov model Published In Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
2015	Multiplicative modelling of four-phase microbial growth Published In Pacific Journal of Mathematics for Industry
2015	Symmetries and solutions of the non-autonomous von Bertalanffy equation Published In Communications in Nonlinear Science and Numerical Simulation
2015	The diffusive Lotka-Volterra predator-prey system with delay Published In Mathematical Biosciences
2015	The shrinking figure eight and other solitons for the curve diffusion flow Published In Journal of Elasticity
2014	Quadratic autocatalysis with non-linear decay Published In Journal of Mathematical Chemistry
2013	Modelling microbial growth in a closed environment Published In Journal of Math-for-Industry
2012	Mathematical modelling in the science and technology of plant breeding Published In International Journal of Numerical Analysis & Modeling, Series B
2012	The effect of incomplete mixing upon quadratic autocatalysis Published In Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
2011	The effect of incomplete mixing upon quadratic autocatalysis Published In ANZIAM Journal
2008	Lie group symmetry analysis of transport in porous media with variable transmissivity Published In Journal of Mathematical Analysis and Applications
2007	Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence Published In Nonlinear Analysis Theory Methods and Applications
1996	Closed-form solutions for unsaturated flow under variable flux boundary conditions Published In Advances in Water Resources
1995	Exceptional symmetry reductions of Burgers' equation in two and three spatial dimensions Published In ZAMP Zeitschrift für angewandte Mathematik und Physik
1994	Classical symmetry reductions of nonlinear diffusion-convection equations Published In Physics Letters A
1994	Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions Published In Journal of Physics A: Mathematical and General
1992	Some exact results for nonlinear diffusion with absorption Published In IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Chapter

Year	Title
2018	Compactly Supported Solutions of Reaction–Diffusion Models of Biological Spread Published In Agriculture as a Metaphor for Creativity in All Human Endeavors Publisher Springer Nature
2018	Compactly Supported Solutions of Reaction–Diffusion Models of Biological Spread Published In Agriculture as a Metaphor for Creativity in All Human Endeavors Publisher Springer Singapore
2016	The mechanics of ribbons and möbius bands Published In The Mechanics of Ribbons and Möbius Bands Publisher Springer Netherlands
2016	The shrinking figure eight and other solitons for the curve diffusion flow Published In The Mechanics of Ribbons and Möbius Bands Publisher Switzerland
2013	Modeling the positioning of trichomes on the leaves of plants Published In Mathematics and Life Sciences
2012	9.1 Modeling the Positioning of Trichomes on the Leaves of Plants Published In Mathematics and Life Sciences Publisher De Gruyter

Conference Paper

Year	Title
2013	A symmetry analysis of non-autonomous von Bertalanffy equations Published In 20th International Congress on Modelling and Simulation
2012	The effect of incomplete mixing upon the Belousov-Zhabotinskii reaction Published In CHEMECA 2012: Australasian Chemical Engineering Conference
2011	Modelling pattern formation in plants Published In MODSIM2011, 19th International Congress on Modelling and Simulation
2011	Sums of exponentials approximations for the Kohlrausch function Published In MODSIM2011: 19th International Congress on Modelling and Simulation,

Advisees

Graduate Advising Relationship

Degree	Research Title	Advisee
Doctor of Philosophy	Analysis of Mathematical Models Using Non-linear Ordinary Differential Equations with Application to Activated Sludge Process	Alsaeed, Salman

Education And Training

Doctor of Philosophy in Applied Mathematics, University of Wollongong 1997

Awards And Honors

UOW Vice Chancellor's OCTAL Award, conferred by University of Wollongong, 2011

Keywords

applied mathematics; mathematical modelling; reaction-diffusion equations; Lie group symmetries; biological mathematics

Full Name

Maureen Edwards

Mailing Address

School of Mathematics and Applied Statistics

University of Wollongong

Wollongong

NSW

2522

Australia

Research Overview

Dr Maureen Edwards is a senior lecturer in the School of Mathematics and Applied Statistics.

Dr Edwards completed a PhD in Applied Mathematics from the University of Wollongong in 1997, and has been a supervisor for four completed PhD students in various Applied Mathematics topics.

Broad areas of research:

applied mathematics, with particular interest in developing and solving mathematical models, often involving nonlinear partial differential equations motivated by biological invasion and population dynamics;

the application of Lie symmetry techniques to classes of nonlinear differential equations, in particular nonlinear reaction-diffusion equations.

Member Of

Selected Publications

Journal Article

Year	Title
2022	A mathematical model for the activated sludge process with a sludge disintegration unit Published In Chemical Product and Process Modeling
2020	Exploring nonlinear diffusion equations for modelling dye-sensitized solar cells Published In Entropy
2019	Quadratic autocatalysis with non-linear decay. II: the effect of incomplete mixing Published In SN Applied Sciences
2016	Nonlinear diffusion and viral spread through the leaf of a plant Published In Zeitschrift fur Angewandte Mathematik und Physik
2015	A semi-analytical analysis of the stability of the reversible Selkov model Published In Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
2015	Multiplicative modelling of four-phase microbial growth Published In Pacific Journal of Mathematics for Industry
2015	Symmetries and solutions of the non-autonomous von Bertalanffy equation Published In Communications in Nonlinear Science and Numerical Simulation
2015	The diffusive Lotka-Volterra predator-prey system with delay Published In Mathematical Biosciences
2015	The shrinking figure eight and other solitons for the curve diffusion flow Published In Journal of Elasticity
2014	Quadratic autocatalysis with non-linear decay Published In Journal of Mathematical Chemistry
2013	Modelling microbial growth in a closed environment Published In Journal of Math-for-Industry
2012	Mathematical modelling in the science and technology of plant breeding Published In International Journal of Numerical Analysis & Modeling, Series B
2012	The effect of incomplete mixing upon quadratic autocatalysis Published In Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
2011	The effect of incomplete mixing upon quadratic autocatalysis Published In ANZIAM Journal
2008	Lie group symmetry analysis of transport in porous media with variable transmissivity Published In Journal of Mathematical Analysis and Applications
2007	Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence Published In Nonlinear Analysis Theory Methods and Applications
1996	Closed-form solutions for unsaturated flow under variable flux boundary conditions Published In Advances in Water Resources
1995	Exceptional symmetry reductions of Burgers' equation in two and three spatial dimensions Published In ZAMP Zeitschrift für angewandte Mathematik und Physik
1994	Classical symmetry reductions of nonlinear diffusion-convection equations Published In Physics Letters A
1994	Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions Published In Journal of Physics A: Mathematical and General
1992	Some exact results for nonlinear diffusion with absorption Published In IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Chapter

Year	Title
2018	Compactly Supported Solutions of Reaction–Diffusion Models of Biological Spread Published In Agriculture as a Metaphor for Creativity in All Human Endeavors Publisher Springer Nature
2018	Compactly Supported Solutions of Reaction–Diffusion Models of Biological Spread Published In Agriculture as a Metaphor for Creativity in All Human Endeavors Publisher Springer Singapore
2016	The mechanics of ribbons and möbius bands Published In The Mechanics of Ribbons and Möbius Bands Publisher Springer Netherlands
2016	The shrinking figure eight and other solitons for the curve diffusion flow Published In The Mechanics of Ribbons and Möbius Bands Publisher Switzerland
2013	Modeling the positioning of trichomes on the leaves of plants Published In Mathematics and Life Sciences
2012	9.1 Modeling the Positioning of Trichomes on the Leaves of Plants Published In Mathematics and Life Sciences Publisher De Gruyter

Conference Paper

Year	Title
2013	A symmetry analysis of non-autonomous von Bertalanffy equations Published In 20th International Congress on Modelling and Simulation
2012	The effect of incomplete mixing upon the Belousov-Zhabotinskii reaction Published In CHEMECA 2012: Australasian Chemical Engineering Conference
2011	Modelling pattern formation in plants Published In MODSIM2011, 19th International Congress on Modelling and Simulation
2011	Sums of exponentials approximations for the Kohlrausch function Published In MODSIM2011: 19th International Congress on Modelling and Simulation,

Advisees

Graduate Advising Relationship

Degree	Research Title	Advisee
Doctor of Philosophy	Analysis of Mathematical Models Using Non-linear Ordinary Differential Equations with Application to Activated Sludge Process	Alsaeed, Salman

Education And Training

Doctor of Philosophy in Applied Mathematics, University of Wollongong 1997

Awards And Honors

UOW Vice Chancellor's OCTAL Award, conferred by University of Wollongong, 2011

Keywords

applied mathematics; mathematical modelling; reaction-diffusion equations; Lie group symmetries; biological mathematics

Full Name

Maureen Edwards

Mailing Address

School of Mathematics and Applied Statistics

University of Wollongong

Wollongong

NSW

2522

Australia

Located In Facility

Building 39C, Room 150A

Orcid Id

http://orcid.org/0000-0001-5106-6796 (confirmed)

Overview

Research Areas

Research Overview

Affiliation

Member Of

Publications

Selected Publications

Journal Article

Chapter

Conference Paper

Supervision

Advisees

Graduate Advising Relationship

Background

Education And Training

Awards And Honors

Keywords

Contact

Full Name

Mailing Address

Located In Facility

Identity

Orcid Id

Overview

Research Areas

Research Overview

Affiliation

Member Of

Publications

Selected Publications

Journal Article

Chapter

Conference Paper

Supervision

Advisees

Graduate Advising Relationship

Background

Education And Training

Awards And Honors

Keywords

Contact

Full Name

Mailing Address

Located In Facility

Identity

Orcid Id

Visualisations

Research Areas