Projects per year

## Personal profile

### 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.

### Expertise & Capabilities

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.

### 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.

### Industrial Relevance

I have worked in collaboration with Health Protection Scotland (mathematical modelling of the spread of pneumococcus and the introduction of new pneumococcus vaccines, mathematical modelling of the spread of hepatitis C and hepatitis C control strategies such as needle cleaning and needle exchange and the effect of heterogeneity). I have also been involved in the development of a statistically based algorithm for infectious disease outbreak reporting which formed the basis of the system currently used by Health Protection Scotland. I have worked as a consultant for Public Health England where I was involved in identifying and quantifying replication in anonymous HIV test databases.

I have also worked with Wyeth vaccines on developing new vaccines for pneumococcus. and with Capita on statistical analysis of telephone call centre data.

### Teaching Interests

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.

### Education/Academic qualification

Doctor of Engineering, University of Cambridge

Master of Arts, University of Cambridge

Master of Mathematics, University of Cambridge

Bachelor of Arts, University of Cambridge

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## Projects 2005 2019

## Extension: Mathematical Modelling of a Novel Autodissemination Trap.

1/04/19 → 31/07/19

Project: Internally funded project

## Research Output 2001 2020

## The optimal age of vaccination against dengue with an age-dependent biting rate with application to Brazil

Maier, S. B., Massad, E., Amaku, M., Burattini, M. N. & Greenhalgh, D., 14 Jan 2020, In : Bulletin of Mathematical Biology. 82, 32 p., 12.Research output: Contribution to journal › Article

## Eco-epidemiological model with fatal disease in the prey

Greenhalgh, D., Khan, Q. J. A. & Al-Kharousi, F. A., 27 Nov 2019, In : Nonlinear Analysis: Real World Applications. 53, 19 p., 103072.Research output: Contribution to journal › Article

## Datasets

## A Stochastic Differential Equation Model for the Spread of HIV Amongst People Who Inject Drugs

Liang, Y. (Creator), Greenhalgh, D. (Creator), Mao, X. (Creator), University of Strathclyde, 2015

DOI: 10.15129/bf5ba8b5-d484-43c7-8006-14fb76819be2

Dataset

## Thesis

## Determination of the optimal age to vaccinate against dengue using a tetravalent dengue vaccine in Brazil

Author: Maier, S., 1 Oct 2018Supervisor: Greenhalgh, D. (Supervisor) & Kelly, L. (Supervisor)

Student thesis: Doctoral Thesis

## Mathematical models of the spread of Hepatitis C among injecting drug users : the effects of heterogeneity

Author: Alfwzan, W. F. A., 1 Nov 2014Supervisor: Greenhalgh, D. (Supervisor) & Hutchinson, S. (Supervisor)

Student thesis: Doctoral Thesis

## Activities 1996 2020

## School of Applied Mathematics, Fundacao Getulio Vargas, Rio de Janeiro,

David Greenhalgh (Visiting researcher)Activity: Visiting an external institution types › Visiting an external academic institution

## School of Applied Mathematics, Fundacao Getulio Vargas, Rio de Janeiro,

David Greenhalgh (Visiting researcher)Activity: Visiting an external institution types › Visiting an external academic institution

## Impacts

## Health and cost benefits of monitoring infectious diseases using novel statistical methods.

Chris Robertson (Participant), David Greenhalgh (Participant), George Gettinby (Participant), J. McMenamin (Participant), C.R. Simpson (Participant), Nazir Lone (Participant)

Impact: Impact - for External Portal › Economic and commerce, Health and welfare - new products, guidelines and services