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**55**.

## Article

Greenhalgh, D. and Liang, Y. and Mao, X.
(2016)
*Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching.*
Physica A: Statistical Mechanics and its Applications, 462.
pp. 684-704.
ISSN 0378-4371

Amaku, M. and Azevedo, F. and Burattini, M. N. and Coelho, G. E. and Coutinho, F. A. B. and Greenhalgh, D. and Lopez, L. F. and Motitsuki, R. S. and Wilder-Smith, A. and Massad, E.
(2016)
*Magnitude and frequency variations of vector-borne infection outbreaks using the Ross–Macdonald model : explaining and predicting outbreaks of dengue fever.*
Epidemiology and Infection.
ISSN 0950-2688

Ximenes, Raphael and Amaku, Marcos and Lopez, Luis Fernandez and Coutinho, Francisco Antonio Bezzerra and Burattini, Marcelo Nascimento and Greenhalgh, David and Wilder-Smith, Annelies and Struchiner, Claudio José and Massad, Eduardo
(2016)
*The risk of dengue for non-immune foreign visitors to the 2016 summer olympic games in Rio de Janeiro, Brazil.*
BMC Infectious Diseases, 16 (186).
ISSN 1471-2334

Greenhalgh, David and Khan, Qamar J A and Pettigrew, Joseph
(2016)
*An eco-epidemiological predator-prey model where predators distinguish between susceptible and infected prey.*
Mathematical Methods in the Applied Sciences.
ISSN 0170-4214
(In Press)

Liang, Yanfeng and Greenhalgh, David and Mao, Xuerong
(2016)
*A stochastic differential equation model for the spread of HIV amongst people who inject drugs.*
Journal of Computational and Mathematical Methods in Medicine, 2016.

Greenhalgh, D. and Liang, Y. and Mao, X.
(2016)
*SDE SIS epidemic model with demographic stochasticity and varying population size.*
Applied Mathematics and Computation, 276.
pp. 218-238.
ISSN 0096-3003

Greenhalgh, David and Liang, Yanfeng and Mao, Xuerong
(2015)
*Demographic stochasticity in the SDE SIS epidemic model.*
Discrete and Continuous Dynamical Systems - Series B, 20 (9).
pp. 2859-2884.
ISSN 1531-3492

Yang, Hyun Mo and Greenhalgh, David
(2015)
*Proof of conjecture in : The basic reproduction number obtained from Jacobian and next generation matrices—A case study of dengue transmission modelling.*
Applied Mathematics and Computation, 265.
pp. 103-107.
ISSN 0096-3003

Greenhalgh, David and Rana, Sourav and Samanta, Sudip and Sardar, Tridip and Bhattacharya, Sabyasachi and Chattopadhyay, Joydev
(2015)
*Awareness programs control infectious disease - Multiple delay induced mathematical model.*
Applied Mathematics and Computation, 251.
pp. 539-563.
ISSN 0096-3003

Lamb, Karen Elaine and Flasche, Stefan and Diggle, Matthew and Inverarity, Donald and Greenhalgh, David and Jefferies, Johanna and Smith, Andrew and Edwards, Giles F S and Denham, Barbara and McMenamin, Jim and McDonald, Eisin and Mitchell, Tim J and Clarke, Stuart C and Robertson, Chris
(2014)
*Trends in serotypes and sequence types among cases of invasive pneumococcal disease in Scotland, 1999-2010.*
Vaccine, 32 (34).
pp. 4356-4363.
ISSN 0264-410X

Sfikas, Nikolaos and Greenhalgh, David and Huo, Wenwen and Mortimer, Janet and Robertson, Chris
(2014)
*Quantifying unrecognised replication present in reports of HIV diagnoses.*
Statistics in Medicine, 33 (16).
pp. 2774-2796.
ISSN 0277-6715

Pan, Jiafeng and Gray, Alison and Greenhalgh, David and Mao, Xuerong
(2014)
*Parameter estimation for the stochastic SIS epidemic model.*
Statistical Inference for Stochastic Processes, 17 (1).
pp. 75-98.
ISSN 1387-0874

Corson, Stephen and Greenhalgh, David and Taylor, Avril and Palmateer, Norah Elizabeth and Goldberg, David and Hutchinson, Sharon
(2013)
*Modelling the prevalence of HCV amongst people who inject drugs : an investigation into the risks associated with injecting paraphernalia sharing.*
Drug and Alcohol Dependence, 133 (1).
pp. 172-179.
ISSN 0376-8716

Roy, Priti Kumar and Chatterjee, Amar Nath and Greenhalgh, David and Khan, Qamar J A
(2013)
*Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model.*
Nonlinear Analysis: Real World Applications, 14 (3).
pp. 1621-1633.
ISSN 1468-1218

Gray, Alison and Greenhalgh, David and Mao, Xuerong and Pan, Jiafeng
(2012)
*The SIS epidemic model with Markovian switching.*
Journal of Mathematical Analysis and Applications, 394 (2).
pp. 496-516.
ISSN 0022-247X

Corson, S and Greenhalgh, D and Hutchinson, S
(2012)
*Mathematically modelling the spread of hepatitis C in injecting drug users.*
Mathematical Medicine and Biology, 29 (3).
pp. 205-230.
ISSN 1477-8599

Corson, Stephen and Greenhalgh, David and Hutchinson, Sharon
(2012)
*A time since onset of injection model for hepatitis C spread amongst injecting drug users.*
Journal of Mathematical Biology, 66 (4-5).
pp. 935-978.
ISSN 0303-6812

Greenhalgh, David and Lamb, Karen Elaine and Robertson, Christopher
(2012)
*A mathematical model for the spread of Strepotococcus pneumoniae with transmission dependent on serotype.*
Journal of Biological Dynamics, 6 (Supple).
pp. 72-87.
ISSN 1751-3758

Greenhalgh, David and Lamb, Karen Elaine and Robertson, Christopher
(2011)
*A mathematical model for the spread of Streptococus Pneumoniae with transmission due to sequence type.*
Discrete and Continuous Dynamical Systems - Supplement, 2011 (Specia).
pp. 553-567.

Inverarity, D. and Lamb, Karen Elaine and Diggle, M. and Robertson, Chris and Greenhalgh, David and Mitchell, T. and Smith, A. and Jerreries, J. and Clarke, S. and McMenamin, J. and Edwards, G.
(2011)
*Death or survival from invasive pneumococcal disease in Scotland: Associations with serogroups and multilocus sequence types.*
Journal of medical microbiology, 60 (6).
pp. 793-802.
ISSN 0022-2615

Griffiths, Martin and Greenhalgh, David
(2011)
*The probability of extinction in a bovine respiratory syncytial virus epidemic model.*
Mathematical Biosciences, 231 (2).
pp. 144-158.

Corson, Stephen and Greenhalgh, David and Palmateer, Norah Elizabeth and Weir, Amanda and Hutchinson, Sharon
(2011)
*Risk of Hepatitis C virus re-infection following spontaneous viral clearance in injecting drug users: A systematic review.*
International Journal of Drug Policy, 22 (2).
pp. 102-108.
ISSN 0955-3959

Lamb, Karen Elaine and Greenhalgh, David and Robertson, Chris
(2011)
*A simple mathematical model for genetic effects in pneumococcal carriage and transmission.*
Journal of Computational and Applied Mathematics, 235 (7).
pp. 1812-1818.
ISSN 0377-0427

Gray, Alison and Greenhalgh, David and Hu, L. and Mao, Xuerong and Pan, Jiafeng
(2011)
*A stochastic differential equation SIS epidemic model.*
SIAM Journal on Applied Mathematics, 71 (3).
pp. 876-902.

Tian, Zengfeng and Hu, Liangjian and Greenhalgh, David
(2010)
*Perturbation analysis of fuzzy linear systems.*
Science in China Series F - Information Sciences, 180 (23).
pp. 4706-4713.
ISSN 1009-2757

Haque, M. and Greenhalgh, D.
(2010)
*When a predator avoids infected prey: a model-based theoretical study.*
Mathematical Medicine and Biology, 27 (1).
pp. 75-94.

Greenhalgh, D. and Khan, Q.J.A. and , Sultan Qaboos University, Oman (Funder)
(2009)
*A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man.*
Nonlinear Analysis: Theory, Methods and Applications, 71 (12).
e925-e935.
ISSN 0362-546X

Greenhalgh, David and Griffiths, Martin
(2009)
*Dynamic phenomena arising from an extended Core Group model.*
Mathematical Biosciences, 221 (2).
pp. 136-149.
ISSN 0025-5564

Dalal, Nirav and Greenhalgh, David and Mao, Xuerong and , University of Strathclyde (Funder)
(2009)
*Mathematical modelling of internal HIV dynamics.*
Discrete and Continuous Dynamical Systems - Series B, 12 (2).
pp. 305-321.
ISSN 1531-3492

Greenhalgh, D. and Griffiths, M.
(2009)
*Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model.*
Journal of Mathematical Biology, 59 (1).
pp. 1-36.
ISSN 0303-6812

Greenhalgh, D. and Al-Fwzan, W. and , Saudi-Arabian Government (Funder)
(2009)
*An improved otimistic three-stage model for the spread of HIV amongst injecting intravenous drug users.*
Discrete and Continuous Dynamical Systems - Series A, 2009.
pp. 286-299.
ISSN 1078-0947

Dalal, N. and Greenhalgh, D. and Mao, X.
(2008)
*A stochastic model for internal HIV dynamics.*
Journal of Mathematical Analysis and Applications, 341 (2).
pp. 1084-1101.
ISSN 0022-247X

Sfikas, N. and Greenhalgh, D. and Lewis, F.
(2007)
*The basic reproduction number and the vaccination coverage required to eliminate Rubella from England and Wales.*
Mathematical Population Studies, 14 (1).
pp. 3-29.
ISSN 0889-8480

Marshall, Stephen and Green, Alan C. and Dougherty, Edward R. and Greenhalgh, David
(2004)
*Optimal filters with multiresolution apertures.*
Journal of Mathematical Imaging and Vision, 20 (3).
pp. 237-250.
ISSN 0924-9907

Marshall, S. and Green, A. and Dougherty, Edward and Greenhalgh, D.
(2003)
*Design of multi-mask aperture filters.*
Signal Processing, 83 (9).
pp. 1961-1971.
ISSN 0165-1684

Greenhalgh, D. and Lewis, F.
(2002)
*The general mixing of addicts and needles in a variable-infectivity needle-sharing environment.*
Journal of Mathematical Biology, 44 (6).
pp. 561-598.
ISSN 0303-6812

Greenhalgh, David and Lewis, Fraser
(2001)
*Stochastic models for the spread of HIV among intravenous drug users.*
Stochastic Models, 17 (4).
pp. 491-512.
ISSN 1532-6349

Lewis, F. and Greenhalgh, D.
(2001)
*Three stage AIDS incubation period : a worst case scenario using addict-needle interaction assumptions.*
Mathematical Biosciences, 169.
pp. 53-87.
ISSN 0025-5564

Greenhalgh, D. and Doyle, M. and Lewis, F.
(2001)
*A mathematical treatment of AIDS and condom use.*
IMA Journal of Mathematics Applied in Medicine and Biology, 18 (3).
pp. 225-262.
ISSN 0265-0746

## Book Section

Greenhalgh, David
(2010)
*Age-structured models and optimal control in mathematical equidemiology: a survey.*
In:
Optimal Control of Age-Structured Populations in Economy, Demography and the Environment.
Routledge Explorations in Environmental Economics
.
Routledge, Taylor & Francis Group, pp. 174-206.
ISBN 9780415776516

## Conference or Workshop Item

Gray, Alison and Pan, Jiafeng and Greenhalgh, David and Mao, Xuerong
(2015)
*Parameter estimation for the stochastic SIS epidemic model.*
In: 26th Numerical Analysis Conference, 2015-06-23 - 2015-06-26, University of Strathclyde.
(Unpublished)

Greenhalgh, David and Gray, Alison and Mao, Xuerong and Pan, Jiafeng
(2012)
*Limiting behaviour of an SIS epidemic model with environmental stochasticity.*
In: 13th WSEAS International Conference on Mathematics and Computers in Biology and Chemistry, 2012-06-13 - 2012-09-15.
(Unpublished)

Greenhalgh, David and Corson, Stephen and Hutchinson, Sharon
(2012)
*Mathematical modelling of the spread of hepatitis C amongst injecting drug users.*
In: International Conference on Dynamical Systems, 2012-01-10 - 2012-01-14.
(Unpublished)

Pan, Jiafeng and Gray, Alison and Greenhalgh, David and Mao, Xuerong
(2012)
*Estimation of parameters for the SDE SIS epidemic model.*
In: Workshop on Stochastic Modelling in Ecosystems, 2012-06-11 - 2012-06-12.
(Unpublished)

Gray, Alison and Greenhalgh, David and Mao, Xuerong and Pan, Jiafeng
(2012)
*SDE SIS epidemic models.*
In: Workshop on Stochastic Modelling in Ecosystems, 2012-06-11 - 2012-06-12.
(Unpublished)

Greenhalgh, David and Khan, Q.J.A. and Pettigrew, J.
(2011)
*Eco-epidemiological model of the Salton Sea - a realistic approach.*
In: Interns@Strathclyde Presentation Evening, 2011-02-08.
(Unpublished)

Greenhalgh, David and Corson, Stephen and Hutchinson, Sharon
(2011)
*Mathematically modelling the spread of hepatitis C amongst injecting users.*
In: Second Workshop on Dynamical Systems Applied to Biology and Natural Sciences, 2011-02-03.
(Unpublished)

Greenhalgh, David
(2010)
*Estimation of parameters in chemical engineering problems.*
In: Workshop on mathematical modelling in chemical engineering, 2010-06-15 - 2010-09-15.
(Unpublished)

Greenhalgh, David and Lamb, Karen Elaine and Robertson, Christopher
(2010)
*Mathematical models for pneumococcal spread taking into account serotypes and sequence types.*
In: 8th American Institute of Mathematical Sciences International Conference on Dynamical Systems, Differential Equations and Applications, 2010-05-25 - 2010-05-28.
(Unpublished)

Greenhalgh, David and Al-Fwzan, Wafa
(2010)
*Modelling the spread of HIV/AIDS amongst injecting drug users taking into account variable infectivity and loss of infectivity.*
In: First Workshop on Dynamical Systems Applied to Biology and Natural Sciences, 2011-03-31.

Greenhalgh, David and Khan, Qamar
(2010)
*A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man.*
In: Workshop on multiscale modelling of biological systems, 2010-07-05 - 2010-07-06.

Corson, Stephen and Greenhalgh, David and Hutchinson, Sharon
(2009)
*Mathematical modelling of the spread of hepatitis C in injecting drug users.*
In: 35'th Young Statisticians Meeting, 2009-04-07 - 2009-04-08.

Greenhalgh, David and Khan, Qamar
(2008)
*A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man.*
In: Fifth World Congress of Nonlinear Analysts, 2011-03-31.

Marshall, S. and Green, A. and Greenhalgh, D. and Dougherty, E.
(2001)
*Multimask aperture filters.*
In: Nonlinear Signal and Image Processing Conference (NSIP 2001), 2001-06-13 - 2001-06-16.

## Other

Heazell, Alexander and Cotter, SL and Gallimore, L. and Greenhalgh, David and Kennedy, S. and Klika, V. and Kritz, M. and Nelson, P. and Preedy, Katharine and Pu, I. and Stechi, A. and Siggers, J. and Whittaker, R.
(2010)
*Comparing placentas from normal and abnormal pregnancies.*
Mathematics in Medicine.

**Sun Sep 25 21:52:18 2016 BST**.