• United Kingdom

Accepting PhD Students

PhD projects

Stochastic Models in Epidemiology and Population Dynamics

Mathematical Modelling of Disease Awareness Programs

Non-intrusive Management of Complex Systems

20012020

Research output per year

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Research Output

2020

A review: Autodissemination of Pyriproxyfen as novel strategy to control dengue outbreaks

Mohd Ngeson, A. M., Greenhalgh, D., Md Lasim, A., Sahani, M., Hod, R. & Othman, H., 27 Jul 2020, (Accepted/In press) In : Journal of Science & Technology. 36 p.

Research output: Contribution to journalArticle

Eco-epidemiological model with fatal disease in the prey

Greenhalgh, D., Khan, Q. J. A. & Al-Kharousi, F. A., 1 Jun 2020, In : Nonlinear Analysis: Real World Applications. 53, 19 p., 103072.

Research output: Contribution to journalArticle

3 Citations (Scopus)

The optimal age of vaccination against dengue in Brazil based on serotype-specific forces of infection derived from serological data

Maier, S. B., Massad, E., Amaku, M., Burattini, M. N. & Greenhalgh, D., 19 May 2020, (Accepted/In press) In : Mathematical Medicine and Biology.

Research output: Contribution to journalArticle

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 journalArticle

Open Access
File
2 Downloads (Pure)
2019

Estimation of the expected number of cases of microcephaly in Brazil as a result of Zika

Liang, Y. & Greenhalgh, D., 16 Sep 2019, In : Mathematical Biosciences and Engineering. 16, 6, p. 8217–8242 26 p.

Research output: Contribution to journalArticle

Open Access
File
11 Downloads (Pure)

Modelling the effect of a novel autodissemination trap on the spread of dengue in Shah Alam and Malaysia

Liang, Y., Ahmad Mohiddin, M. N., Bahauddin, R., Hidayatul, F. O., Nazni, W. A., Lee, H. L. & Greenhalgh, D., 4 Aug 2019, In : Computational and Mathematical Methods in Medicine. 2019, 15 p., 1923479.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)
16 Downloads (Pure)
2018

Modelling the effect of a novel auto-dissemination trap on the spread of dengue in high-rise condominia, Malaysia

Greenhalgh, D., Liang, Y., Nazni, W. A., Teoh, G., Lee, H. L. & Massad, E., 20 Dec 2018, In : Journal of Biological Systems. 26, 4, p. 553-578 26 p.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
15 Downloads (Pure)
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 journalArticle

Open Access
File
9 Citations (Scopus)
13 Downloads (Pure)

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 journalArticle

Open Access
File
6 Citations (Scopus)
138 Downloads (Pure)

Estimating the prevalence of infectious diseases from under-reported age-dependent compulsorily notification databases

Amaku, M., Burattini, M. N., Chaib, E., Coutinho, F. A. B., Greenhalgh, D., Lopez, L. F. & Massad, E., 12 Dec 2017, In : Theoretical Biology and Medical Modelling . 14, 1, 18 p., 23.

Research output: Contribution to journalArticle

Open Access
File
2 Citations (Scopus)
27 Downloads (Pure)

Mathematical modelling the spread of Zika and Microcephaly in Brazil

Liang, Y. & Greenhalgh, D., 4 Jul 2017, Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering: CMMSE 2017. [S.I.], Vol. 4. p. 1264-1268 5 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
File
245 Downloads (Pure)

Modelling the impact of the long-term use of insecticide treated bednets on Anopheles mosquito biting time

Ferreira, C. P., Lyra, S. P., Azevedo, F., Greenhalgh, D. & Massad, E., 15 Sep 2017, In : Malaria Journal. 16, 11 p., 373.

Research output: Contribution to journalArticle

Open Access
File
7 Citations (Scopus)
70 Downloads (Pure)
2016
Open Access
File
1 Citation (Scopus)
124 Downloads (Pure)

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., 31 Dec 2016, In : Epidemiology and Infection. 144, 16, p. 3435-3450 16 p.

Research output: Contribution to journalArticle

Open Access
File
8 Citations (Scopus)
32 Downloads (Pure)
Open Access
File
23 Citations (Scopus)
108 Downloads (Pure)

SDE SIS epidemic model with demographic stochasticity and varying population size

Greenhalgh, D., Liang, Y. & Mao, X., 5 Mar 2016, In : Applied Mathematics and Computation. 276, p. 218-238 21 p.

Research output: Contribution to journalArticle

Open Access
File
14 Citations (Scopus)
163 Downloads (Pure)

The risk of dengue for non-immune foreign visitors to the 2016 summer olympic games in Rio de Janeiro, Brazil

Ximenes, R., Amaku, M., Lopez, L. F., Coutinho, F. A. B., Burattini, M. N., Greenhalgh, D., Wilder-Smith, A., Struchiner, C. J. & Massad, E., 29 Apr 2016, In : BMC Infectious Diseases. 16, 186, 9 p.

Research output: Contribution to journalArticle

Open Access
File
21 Citations (Scopus)
45 Downloads (Pure)
2015

Awareness programs control infectious disease - Multiple delay induced mathematical model

Greenhalgh, D., Rana, S., Samanta, S., Sardar, T., Bhattacharya, S. & Chattopadhyay, J., 15 Jan 2015, In : Applied Mathematics and Computation. 251, p. 539-563 25 p.

Research output: Contribution to journalArticle

Open Access
File
47 Citations (Scopus)
247 Downloads (Pure)

Demographic stochasticity in the SDE SIS epidemic model

Greenhalgh, D., Liang, Y. & Mao, X., 30 Sep 2015, In : Discrete and Continuous Dynamical Systems - Series B. 20, 9, p. 2859-2884 26 p.

Research output: Contribution to journalArticle

Open Access
File
5 Citations (Scopus)
373 Downloads (Pure)

Parameter estimation for the stochastic SIS epidemic model

Gray, A., Pan, J., Greenhalgh, D. & Mao, X., Jun 2015, (Unpublished).

Research output: Contribution to conferenceSpeech

6 Citations (Scopus)
157 Downloads (Pure)
2014

Parameter estimation for the stochastic SIS epidemic model

Pan, J., Gray, A., Greenhalgh, D. & Mao, X., 1 Apr 2014, In : Statistical Inference for Stochastic Processes. 17, 1, p. 75-98 24 p.

Research output: Contribution to journalArticle

File
5 Citations (Scopus)
294 Downloads (Pure)

Quantifying unrecognised replication present in reports of HIV diagnoses

Sfikas, N., Greenhalgh, D., Huo, W., Mortimer, J. & Robertson, C., 20 Jul 2014, In : Statistics in Medicine. 33, 16, p. 2774-2796 23 p.

Research output: Contribution to journalArticle

Open Access
File
65 Downloads (Pure)

Trends in serotypes and sequence types among cases of invasive pneumococcal disease in Scotland, 1999-2010

Lamb, K. E., Flasche, S., Diggle, M., Inverarity, D., Greenhalgh, D., Jefferies, J., Smith, A., Edwards, G. F. S., Denham, B., McMenamin, J., McDonald, E., Mitchell, T. J., Clarke, S. C. & Robertson, C., 23 Jul 2014, In : Vaccine. 32, 34, p. 4356-4363 8 p.

Research output: Contribution to journalArticle

Open Access
File
12 Citations (Scopus)
73 Downloads (Pure)
2013

Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model

Roy, P. K., Chatterjee, A. N., Greenhalgh, D. & Khan, Q. J. A., Jun 2013, In : Nonlinear Analysis: Real World Applications. 14, 3, p. 1621-1633 13 p.

Research output: Contribution to journalArticle

Open Access
File
57 Citations (Scopus)
450 Downloads (Pure)

Modelling the prevalence of HCV amongst people who inject drugs: an investigation into the risks associated with injecting paraphernalia sharing

Corson, S., Greenhalgh, D., Taylor, A., Palmateer, N. E., Goldberg, D. & Hutchinson, S., Nov 2013, In : Drug and Alcohol Dependence. 133, 1, p. 172-179 8 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)
2012

A mathematical model for the spread of Strepotococcus pneumoniae with transmission dependent on serotype

Greenhalgh, D., Lamb, K. E. & Robertson, C., 2012, In : Journal of Biological Dynamics. 6, Supplelment 1, p. 72-87 16 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

A time since onset of injection model for hepatitis C spread amongst injecting drug users

Corson, S., Greenhalgh, D. & Hutchinson, S., Aug 2012, In : Journal of Mathematical Biology. 66, 4-5, p. 935-978 44 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Estimation of parameters for the SDE SIS epidemic model

Pan, J., Gray, A., Greenhalgh, D. & Mao, X., 2012, (Unpublished).

Research output: Contribution to conferenceSpeech

Limiting behaviour of an SIS epidemic model with environmental stochasticity

Greenhalgh, D., Gray, A., Mao, X. & Pan, J., 14 Jun 2012, (Unpublished).

Research output: Contribution to conferenceKeynote

Mathematically modelling the spread of hepatitis C in injecting drug users

Corson, S., Greenhalgh, D. & Hutchinson, S., Sep 2012, In : Mathematical Medicine and Biology. 29, 3, p. 205-230 26 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Mathematical modelling of the spread of hepatitis C amongst injecting drug users

Greenhalgh, D., Corson, S. & Hutchinson, S., 13 Jan 2012, (Unpublished).

Research output: Contribution to conferencePaper

SDE SIS epidemic models

Gray, A., Greenhalgh, D., Mao, X. & Pan, J., 2012, (Unpublished).

Research output: Contribution to conferenceSpeech

The SIS epidemic model with Markovian switching

Gray, A., Greenhalgh, D., Mao, X. & Pan, J., 15 Oct 2012, In : Journal of Mathematical Analysis and Applications. 394, 2, p. 496-516 21 p.

Research output: Contribution to journalArticle

File
81 Citations (Scopus)
558 Downloads (Pure)
2011

A mathematical model for the spread of streptococcus pneumoniae with transmission due to sequence type

Greenhalgh, D., Lamb, K. E. & Robertson, C., 1 Oct 2011, In : Discrete and Continuous Dynamical Systems- Series A. Supplement 2011, p. 553-567 15 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

A mathematical model for the spread of Streptococus Pneumoniae with transmission due to sequence type

Greenhalgh, D., Lamb, K. E. & Robertson, C., Oct 2011, In : Discrete and Continuous Dynamical Systems - Supplement. 2011, Special Issue, p. 553-567 15 p.

Research output: Contribution to journalArticle

A simple mathematical model for genetic effects in pneumococcal carriage and transmission

Lamb, K. E., Greenhalgh, D. & Robertson, C., 1 Feb 2011, In : Journal of Computational and Applied Mathematics. 235, 7, p. 1812-1818 7 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)

A stochastic differential equation SIS epidemic model

Gray, A., Greenhalgh, D., Hu, L., Mao, X. & Pan, J., 2011, In : SIAM Journal on Applied Mathematics . 71, 3, p. 876-902 27 p.

Research output: Contribution to journalArticle

File
328 Citations (Scopus)
4087 Downloads (Pure)

Death or survival from invasive pneumococcal disease in Scotland: Associations with serogroups and multilocus sequence types

Inverarity, D., Lamb, K. E., Diggle, M., Robertson, C., Greenhalgh, D., Mitchell, T., Smith, A., Jerreries, J., Clarke, S., McMenamin, J. & Edwards, G., Jun 2011, In : Journal of Medical Microbiology. 60, 6, p. 793-802 10 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

Eco-epidemiological model of the Salton Sea - a realistic approach

Greenhalgh, D., Khan, Q. J. A. & Pettigrew, J., Oct 2011, (Unpublished).

Research output: Contribution to conferenceOther

Mathematically modelling the spread of hepatitis C amongst injecting users

Greenhalgh, D., Corson, S. & Hutchinson, S., Feb 2011, (Unpublished).

Research output: Contribution to conferenceAbstract

Risk of Hepatitis C virus re-infection following spontaneous viral clearance in injecting drug users: A systematic review

Corson, S., Greenhalgh, D., Palmateer, N. E., Weir, A. & Hutchinson, S., Mar 2011, In : International Journal of Drug Policy. 22, 2, p. 102-108 7 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

The probability of extinction in a bovine respiratory syncytial virus epidemic model

Griffiths, M. & Greenhalgh, D., Jun 2011, In : Mathematical Biosciences. 231, 2, p. 144-158 15 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Age-structured models and optimal control in mathematical equidemiology: a survey

Greenhalgh, D., 2010, Optimal Control of Age-Structured Populations in Economy, Demography and the Environment. Boucekkine, R., Hritonenko, N. & Yatsenko, Y. (eds.). p. 174-206 33 p. (Routledge Explorations in Environmental Economics).

Research output: Chapter in Book/Report/Conference proceedingChapter

File
756 Downloads (Pure)

Comparing placentas from normal and abnormal pregnancies

Heazell, A., Cotter, SL., Gallimore, L., Greenhalgh, D., Kennedy, S., Klika, V., Kritz, M., Nelson, P., Preedy, K., Pu, I., Stechi, A., Siggers, J. & Whittaker, R., 2010, 66 p.

Research output: Other contribution

File
39 Downloads (Pure)

Estimation of parameters in chemical engineering problems

Greenhalgh, D., Jun 2010, (Unpublished).

Research output: Contribution to conferenceSpeech

Mathematical models for pneumococcal spread taking into account serotypes and sequence types

Greenhalgh, D., Lamb, K. E. & Robertson, C., May 2010, (Unpublished).

Research output: Contribution to conferenceSpeech

Perturbation analysis of fuzzy linear systems

Tian, Z., Hu, L. & Greenhalgh, D., 1 Dec 2010, In : Science in China Series F - Information Sciences. 180, 23, p. 4706-4713 8 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)