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

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Projects 2005 2018

## A New, Sustainable, Effective and Efficient Strategy to Outsmart the Dengue Vector Mosquitoes (Newton Funds)

1/08/16 → 31/07/18

Project: Research

## Research Output 2001 2017

## Analysis of the optimal vaccination age for Dengue in Brazil with a tetravalent Dengue vaccine

Maier, S. B., Huang, X., Massad, E., Amaku, M., Burattini, M. N. & Greenhalgh, D. 31 Dec 2017 In : Mathematical Biosciences. 294, p. 15-32 18 p.Research output: Contribution to journal › Article

## An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey

Greenhalgh, D., Khan, Q. J. A. & Pettigrew, J. S. 15 Jan 2017 In : Mathematical Methods in the Applied Sciences . 40, 1, p. 146-166 21 p.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

## 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)

Student thesis: Doctoral Thesis

## Modelling the effect of stochasticity in epidemic and HIV models

Author: Liang, Y., 1 Apr 2016Supervisor: Greenhalgh, D. (Supervisor) & Mao, X. (Supervisor)

Student thesis: Doctoral Thesis

## Activities 1996 2018

## Veszprem Conference on Differential and Difference Equations and Applications

Greenhalgh, D. (Invited speaker)Activity: Participation in conference

## 11th International Conference on Machine Learning and Computing

Greenhalgh, D. (Member of programme committee)Activity: Organiser of major conference

## 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