Edwards, Maureen P.

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
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 Volume 22 Pages 117 - 139 ISSN 1492-8760
2015	Multiplicative modelling of four-phase microbial growth Published In Pacific Journal of Mathematics for Industry Volume 7 Pages 7-1 - 7-10 Altmetric
2015	Symmetries and solutions of the non-autonomous von Bertalanffy equation Published In Communications in Nonlinear Science and Numerical Simulation Volume 22 Pages 1062 - 1067 ISSN 1007-5704 Altmetric
2015	The diffusive Lotka-Volterra predator-prey system with delay Published In Mathematical Biosciences Volume 270 Pages 30 - 40 ISSN 0025-5564 Altmetric
2015	The shrinking figure eight and other solitons for the curve diffusion flow Published In Journal of Elasticity Volume 119 Pages 191 - 211 ISSN 0374-3535 Altmetric
2014	Quadratic autocatalysis with non-linear decay Published In Journal of Mathematical Chemistry Volume 52 Pages 2234 - 2258 ISSN 0259-9791 Altmetric
2013	Modelling microbial growth in a closed environment Published In Journal of Math-for-Industry Volume 5 Pages 33 - 40 ISSN 1884-4774
2012	Mathematical modelling in the science and technology of plant breeding Published In International Journal of Numerical Analysis & Modeling, Series B Volume 3 Pages 242 - 258
2012	The effect of incomplete mixing upon quadratic autocatalysis Published In Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal Volume 53 Pages C266 - C279 ISSN 1446-1811
2008	Lie group symmetry analysis of transport in porous media with variable transmissivity Published In Journal of Mathematical Analysis and Applications Volume 341 Pages 906 - 921 ISSN 0022-247X Altmetric
2007	Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence Published In Nonlinear Analysis Theory Methods and Applications Volume 67 Pages 2541 - 2552 ISSN 0362-546X Altmetric

Chapter

Year	Title
2016	The shrinking figure eight and other solitons for the curve diffusion flow Published In The Mechanics of Ribbons and Möbius Bands Publisher Switzerland: Springer Netherlands Pages 191 - 211 Altmetric
2013	Modeling the positioning of trichomes on the leaves of plants Published In Mathematics and Life Sciences Publisher Walter de Gruyter GmbH Pages 215 - 228 Altmetric

Conference Paper

Year	Title
2013	A symmetry analysis of non-autonomous von Bertalanffy equations Published In 20th International Congress on Modelling and Simulation Pages 15 - 21
2012	The effect of incomplete mixing upon the Belousov-Zhabotinskii reaction Published In CHEMECA 2012: Australasian Chemical Engineering Conference Pages 1 - 10
2011	Modelling pattern formation in plants Published In MODSIM2011, 19th International Congress on Modelling and Simulation Pages 378 - 384
2011	Sums of exponentials approximations for the Kohlrausch function Published In MODSIM2011: 19th International Congress on Modelling and Simulation, Pages 263 - 269

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
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 Volume 22 Pages 117 - 139 ISSN 1492-8760
2015	Multiplicative modelling of four-phase microbial growth Published In Pacific Journal of Mathematics for Industry Volume 7 Pages 7-1 - 7-10 Altmetric
2015	Symmetries and solutions of the non-autonomous von Bertalanffy equation Published In Communications in Nonlinear Science and Numerical Simulation Volume 22 Pages 1062 - 1067 ISSN 1007-5704 Altmetric
2015	The diffusive Lotka-Volterra predator-prey system with delay Published In Mathematical Biosciences Volume 270 Pages 30 - 40 ISSN 0025-5564 Altmetric
2015	The shrinking figure eight and other solitons for the curve diffusion flow Published In Journal of Elasticity Volume 119 Pages 191 - 211 ISSN 0374-3535 Altmetric
2014	Quadratic autocatalysis with non-linear decay Published In Journal of Mathematical Chemistry Volume 52 Pages 2234 - 2258 ISSN 0259-9791 Altmetric
2013	Modelling microbial growth in a closed environment Published In Journal of Math-for-Industry Volume 5 Pages 33 - 40 ISSN 1884-4774
2012	Mathematical modelling in the science and technology of plant breeding Published In International Journal of Numerical Analysis & Modeling, Series B Volume 3 Pages 242 - 258
2012	The effect of incomplete mixing upon quadratic autocatalysis Published In Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal Volume 53 Pages C266 - C279 ISSN 1446-1811
2008	Lie group symmetry analysis of transport in porous media with variable transmissivity Published In Journal of Mathematical Analysis and Applications Volume 341 Pages 906 - 921 ISSN 0022-247X Altmetric
2007	Nonclassical symmetry solutions for reaction-diffusion equations with explicit spatial dependence Published In Nonlinear Analysis Theory Methods and Applications Volume 67 Pages 2541 - 2552 ISSN 0362-546X Altmetric

Chapter

Year	Title
2016	The shrinking figure eight and other solitons for the curve diffusion flow Published In The Mechanics of Ribbons and Möbius Bands Publisher Switzerland: Springer Netherlands Pages 191 - 211 Altmetric
2013	Modeling the positioning of trichomes on the leaves of plants Published In Mathematics and Life Sciences Publisher Walter de Gruyter GmbH Pages 215 - 228 Altmetric

Conference Paper

Year	Title
2013	A symmetry analysis of non-autonomous von Bertalanffy equations Published In 20th International Congress on Modelling and Simulation Pages 15 - 21
2012	The effect of incomplete mixing upon the Belousov-Zhabotinskii reaction Published In CHEMECA 2012: Australasian Chemical Engineering Conference Pages 1 - 10
2011	Modelling pattern formation in plants Published In MODSIM2011, 19th International Congress on Modelling and Simulation Pages 378 - 384
2011	Sums of exponentials approximations for the Kohlrausch function Published In MODSIM2011: 19th International Congress on Modelling and Simulation, Pages 263 - 269

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

39c.158

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

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

Background

Education And Training

Awards And Honors

Keywords

Contact

Full Name

Mailing Address

Located In Facility

Identity

Orcid Id

Visualisations

Research Areas