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Professor David Greenhalgh

Mathematics and Statistics

Personal statement

I gained a PhD from the University of Cambridge in 1984 and worked at Imperial College, London from 1984 to 1986. I also have a first class Honours degree in Mathematics and a distinction in Part III Mathematics. I am currently a member of the Population Modelling and Epidemiology Research Group at Strathclyde and have been a member of Strathclyde in the Departments of Mathematics, Statistics and Modelling Science and Mathematics and Statistics since 1986. I am currently Fourth Year Adviser of Studies and also Executive Editor of Journal of Biological Systems.

In 2015 I was awarded a two year (2015-2017) Leverhulme Trust Research Fellowship grant (50K RF-2015-88) as PI to study mathematical modelling of vaccination against dengue.


Has expertise in:

    I have expertise in mathematical and statistical modelling applied to biological problems, using differential equations to model biological problems, mathematical analysis, stochastic analysis, stochastic differential equations, maximum likelihood estimation and R software.

    I have also taught many courses in the area of mathematics and statistics and supervised or co-supervised many undergraduate and postgraduate projects in mathematics and statistics.


Analysis of the optimal vaccination age for Dengue in Brazil with a tetravalent Dengue vaccine
Maier Sandra B., Huang Xiao , Massad Eduardo, Amaku Marcos, Burattini Marcelo N., Greenhalgh David
Mathematical Biosciences Vol 294, pp. 15-32, (2017)
Estimating the prevalence of infectious diseases from under-reported age-dependent compulsorily notification databases
Amaku Marcos, Burattini Marcelo Nascimento, Chaib Eleazar, Coutinho Francisco Antonio Bezzerra, Greenhalgh David, Lopez Luis Fernandez, Massad Eduardo
Theoretical Biology and Medical Modelling Vol 14, (2017)
Modelling the impact of the long-term use of insecticide treated bednets on Anopheles mosquito biting time
Ferreira Claudia P., Lyra Silas P., Azevedo Franciane, Greenhalgh David, Massad Eduardo
Malar J Vol 16, (2017)
Mathematical modelling the spread of Zika and Microcephaly in Brazil
Liang Yanfeng, Greenhalgh David
Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering, pp. 1264-1268, (2017)
An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey
Greenhalgh David, Khan Qamar J. A., Pettigrew Joseph S.
Mathematical Methods in the Applied Sciences Vol 40, pp. 146-166, (2017)
Magnitude and frequency variations of vector-borne infection outbreaks using the Ross–Macdonald model : explaining and predicting outbreaks of dengue fever
Amaku M., Azevedo F., Burattini M. N., Coelho G. E., Coutinho F. A. B., Greenhalgh D., Lopez L. F., Motitsuki R. S., Wilder-Smith A., Massad E.
Infection and Epidemiology Vol 144, pp. 3435-3450, (2016)

more publications


My current teaching includes

MM111 Mathematics 1B

Teaches basic mathematics, foundations, calculus and complex numbers to engineering students.

MM114 Engineering Mathematics 2E

Teaches basic mathematics, calculus, geometry and vectors, matrices and numerical methods to engineering students.

MM118 Foundation Statistics.

Teaches basic statistics, data presentation, probability, hypothesis testing, confidence intervals, regression, correlation and association to bioscientists.

MM304 Inference and Regression Modelling.

Teaches statistical inference and advanced regression technques to mathematically based degree students.

Research interests

My research interests involves mathematical and statistical techniques applied to biological problems, in particular mathematical and statistical modelling in epidemiology. I have over eighty papers in high quality refereed journals and have supervised or co-supervised almost twenty research students, seventeen at PhD level. I am regularly invited to speak at international conferences including as keynote and plenary speaker. Application areas of interest include HIV/AIDS, both heterosexual spread and spread amongst intravenous drug users, dengue vaccination, hepatitis A, hepatitits C, mumps and rubella. I have extensive overseas collaborations including Brazil (Professor E. Massad), India (Professor J. Chattopadhyay), Oman (Professor Q. J. A. Khan), Germany and The Netherlands.

In 2015 I was awarded a two year (2015-2017) Leverhulme Trust Research Fellowship grant (50K RF-2015-88) as PI to study mathematical modelling of vaccination against dengue.

Professional activities

Measuring unrecognised replication present in HIV databases.
Invited speaker
Workshop on Mathematical Modelling, International Medical University, Kuala Lumpur, Malaysia.
Dengue Seminar and Round Table Discussion
Keynote/plenary speaker
Modelling dengue vaccination programs
Invited speaker
Seminar on Mathematical Modelling of Dengue
Invited speaker
Workshop on Mathematical Modelling, University Putra, Malaysia

more professional activities


EPSRC Institutional Sponsorship: Global Challenges Research Fund (GCRF) / R160677-105
Greenhalgh, David (Principal Investigator)
Period 01-Jun-2016 - 31-Mar-2017
Mathematically Modelling the Risk of Zika Virus to Tourists to Brazil
Greenhalgh, David (Principal Investigator)
Summer internship funded by RI@S
Period 01-Jun-2016 - 31-Jul-2016
A New, Sustainable, Effective and Efficient Strategy to Outsmart the Dengue Vector Mosquitoes (Newton Funds)
Greenhalgh, David (Principal Investigator)
Period 01-Aug-2016 - 31-Jul-2018
Epsrc Doctoral Training Grant | Liang, Yanfeng
Greenhalgh, David (Principal Investigator) Mao, Xuerong (Co-investigator) Liang, Yanfeng (Research Co-investigator)
Period 01-Oct-2012 - 03-Oct-2016
Memorandum of understanding with Sultan Qaboos University, Oman
Greenhalgh, David (Principal Investigator)
I have arranged a Memorandum of Understanding with Sultan Qaboos University, Oman for potential undergraduate student and postgraduate student exchange, exchanges of staff and joint research projects.
Period 29-May-2015 - 29-May-2018
Internship on Mathematical Modelling of Dengue Vaccination
Greenhalgh, David (Principal Investigator)
This was a eight week internship funded by RI@S (£1,600) for Mr. Xaio Huang to develop mathematical models for dengue vaccination.
Period 08-Jun-2015 - 09-Aug-2015

more projects


Mathematics and Statistics
Livingstone Tower

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