David Greenhalgh

2025

Mathematical insight of methanol toxicity management using charcoal and folinic acid

Sardar, S., Roy, P. K., Kushary, S. & Greenhalgh, D., 2 Feb 2025, Mathematical Analysis and Applications in Biological Phenomena through Modelling: ICMAAM-2023, Kolkata, India, October 9–11. Kumar Roy, P., Cao, X., Li, X.-Z. & Bhattacharya, A. (eds.). Cham: Springer, p. 239-249 11 p. (Springer Proceedings in Mathematics & Statistics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

2024

Combined impact of fear and Allee effect in predator-prey interaction models on their growth

Al Amri, K. A. N., Khan, Q. J. A. & Greenhalgh, D., 8 Oct 2024, In: Mathematical Biosciences and Engineering. 21, 10, p. 7211-7252 42 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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7 Downloads (Pure)

2023

Combatting Malaysia’s dengue outbreaks with auto-dissemination mosquito traps: a hybrid stochastic-deterministic SIR model

Wells, J., Greenhalgh, D., Liang, Y., Megiddo, I., Nazni, W. A., Guat-Ney, T. & Lee, H. L., 31 Dec 2023, In: Communication in Biomathematical Sciences. 6, 2, p. 169-188 20 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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258739 Downloads (Pure)

Modeling criminal careers of different levels of offence

Raimundo, S. M., Yang, H. M., Rubio, F. A., Greenhalgh, D. & Massad, E., 15 Sept 2023, In: Applied Mathematics and Computation. 453, 38 p., 128073.

Research output: Contribution to journal › Article › peer-review

Open Access

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1 Citation (Scopus)

57 Downloads (Pure)

Incorporation of awareness programs into a model of the spread of HIV/AIDS among people who inject drugs

Alsharari, M. & Greenhalgh, D., 31 May 2023, In: Engineering Reports. 5, 5, 28 p., e12593.

Research output: Contribution to journal › Article › peer-review

Open Access

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37 Downloads (Pure)

Impact of tetravalent dengue vaccination with screening, ADE and altered infectivity on single-serotype dengue and Zika transmission

Kribs, C. & Greenhalgh, D., 29 Apr 2023, In: Journal of Mathematical Biology. 86, 5, 41 p., 85.

Research output: Contribution to journal › Article › peer-review

Open Access

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1 Citation (Scopus)

24 Downloads (Pure)

2022

Modeling the spread of hepatitis C virus amongst people who inject drugs

Greenhalgh, D. & Al-Rashidi, N., 21 Mar 2022, In: Engineering Reports. 4, 10, 30 p., e12503.

Research output: Contribution to journal › Article › peer-review

Open Access

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1 Citation (Scopus)

26 Downloads (Pure)

2021

Evaluation of a mosquito home system for controlling Aedes aegypti

Mohd Ngesom, A. M., Razi, A. A., Azizan, N. S., Nazni, W. A., Lasim, A. M., Liang, Y., Greenhalgh, D., Min, J. C. S., Sahani, M., Hod, R. & Othman, H., 18 Aug 2021, In: Parasites and Vectors. 14, 413.

Research output: Contribution to journal › Article › peer-review

Open Access

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2 Citations (Scopus)

46 Downloads (Pure)

Evaluating the potential of pyriproxyfen dissemination using mosquito home system against Aedes albopictus at dengue hotspot area

Mohd Ngesom, A. M., Ahmad, N. W., Han Lim, L., Md Lasim, A., Greenhalgh, D., Sahani, M., Hod, R. & Othman, H., 1 Aug 2021, In: Sains Malaysiana . 50, 8

Research output: Contribution to journal › Article › peer-review

Open Access

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42 Downloads (Pure)

Field effectiveness of pyriproxyfen auto-dissemination trap against container-breeding Aedes in high-rise condominiums

Nazni, W. A., Teoh, G.-N., Nordin, O., Hasbolah, F., Othman, S., Angamuthu, C., Muhamed, K. A., Ali, N., Muin, A., Oman, T., Liang, Y., Greenhalgh, D., Lees, R. & Lim, L. H., 3 Jan 2021, In: Southeast Asian Journal of Tropical Medicine and Public Health. 51, 6, p. 937-952 16 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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4 Citations (Scopus)

53 Downloads (Pure)

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., 21 Oct 2020, In: Journal of Science & Technology. 28, 4, p. 1117-1140 24 p., JST-1953-2020.

Research output: Contribution to journal › Article › peer-review

Open Access

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4 Citations (Scopus)

60 Downloads (Pure)

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., 16 Jul 2020, In: Mathematical Medicine and Biology. 38, 1, p. 1-27 27 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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31 Downloads (Pure)

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 journal › Article › peer-review

Open Access

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29 Citations (Scopus)

161 Downloads (Pure)

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 › peer-review

Open Access

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4 Citations (Scopus)

40 Downloads (Pure)

2019

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

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

Research output: Contribution to journal › Article › peer-review

Open Access

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2 Citations (Scopus)

34 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 journal › Article › peer-review

Open Access

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10 Citations (Scopus)

44 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.-N., Lee, H. L. & Massad, E., 20 Dec 2018, In: Journal of Biological Systems. 26, 4, p. 553-578 26 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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6 Citations (Scopus)

40 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 journal › Article › peer-review

Open Access

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18 Citations (Scopus)

43 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 journal › Article › peer-review

Open Access

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8 Citations (Scopus)

49 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 Sept 2017, In: Malaria Journal. 16, 11 p., 373.

Research output: Contribution to journal › Article › peer-review

Open Access

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20 Citations (Scopus)

102 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 proceeding › Conference contribution book

Open Access

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265 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 journal › Article › peer-review

Open Access

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21 Citations (Scopus)

224 Downloads (Pure)

2016

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 journal › Article › peer-review

Open Access

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14 Citations (Scopus)

54 Downloads (Pure)

Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching

Greenhalgh, D., Liang, Y. & Mao, X., 15 Nov 2016, In: Physica A: Statistical Mechanics and its Applications. 462, p. 684-704 21 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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50 Citations (Scopus)

144 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 journal › Article › peer-review

Open Access

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31 Citations (Scopus)

66 Downloads (Pure)

A stochastic differential equation model for the spread of HIV amongst people who inject drugs

Liang, Y., Greenhalgh, D. & Mao, X., 10 Mar 2016, In: Computational and Mathematical Methods in Medicine. 2016, 14 p., 6757928.

Research output: Contribution to journal › Article › peer-review

Open Access

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16 Citations (Scopus)

163 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 journal › Article › peer-review

Open Access

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26 Citations (Scopus)

252 Downloads (Pure)

2015

Demographic stochasticity in the SDE SIS epidemic model

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

Research output: Contribution to journal › Article › peer-review

Open Access

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9 Citations (Scopus)

428 Downloads (Pure)

Proof of conjecture in: The basic reproduction number obtained from Jacobian and next generation matrices—A case study of dengue transmission modelling

Yang, H. M. & Greenhalgh, D., 15 Aug 2015, In: Applied Mathematics and Computation. 265, p. 103-107 5 p.

Research output: Contribution to journal › Article › peer-review

Open Access

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17 Citations (Scopus)

401 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 conference › Presentation/Speech

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 journal › Article › peer-review

Open Access

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110 Citations (Scopus)

263 Downloads (Pure)

2014

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 journal › Article › peer-review

Open Access

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13 Citations (Scopus)

92 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 journal › Article › peer-review

Open Access

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90 Downloads (Pure)

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 journal › Article › peer-review

File

15 Citations (Scopus)

812 Downloads (Pure)

2013

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 journal › Article › peer-review

34 Citations (Scopus)

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 journal › Article › peer-review

Open Access

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71 Citations (Scopus)

539 Downloads (Pure)

2012

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 journal › Article › peer-review

File

136 Citations (Scopus)

1126 Downloads (Pure)

Mathematically modelling the spread of hepatitis C in injecting drug users

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

Research output: Contribution to journal › Article › peer-review

17 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 journal › Article › peer-review

13 Citations (Scopus)

2 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 conference › Presentation/Speech

SDE SIS epidemic models

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

Research output: Contribution to conference › Presentation/Speech

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 - Supplement. 2011, Special Issue, p. 553-567 15 p.

Research output: Contribution to journal › Article › peer-review

3 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 conference › Other

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 journal › Article › peer-review