D. Greenhalgh

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Optimal control of an epidemic by ring vaccination

D. Greenhalgh, 1986 .

A stochastic model for internal HIV dynamics

Xuerong Mao, David Greenhalgh, X. Mao, 2008 .

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

D. Greenhalgh, P. Roy, A. Chatterjee, 2013 .

A stochastic model of AIDS and condom use

X. Mao, D. Greenhalgh, N. Dalal, 2007 .

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

D. Greenhalgh, Nader Al‐Rashidi, Nader H. Al-Rashidi, 2022, Engineering Reports.

Hopf bifurcation in two SIRS density dependent epidemic models

Q. J. A. Khan, David Greenhalgh, D. Greenhalgh, 2004 .

SIRS epidemic model and simulations using different types of seasonal contact rate

David Greenhalgh, I. A. Moneim, D. Greenhalgh, 2003 .

Deterministic models for common childhood diseases

David Greenhalgh, D. Greenhalgh, 1990 .

Some results for an SEIR epidemic model with density dependence in the death rate.

D Greenhalgh, D. Greenhalgh, David G. Greenhalgh, 1992, IMA journal of mathematics applied in medicine and biology.

Modelling epidemics with variable contact rates.

D Greenhalgh, D. Greenhalgh, R Das, 1995, Theoretical population biology.

Demographic stochasticity in the SDE SIS epidemic model

X. Mao, D. Greenhalgh, Yanfeng Liang, 2015 .

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

D. Greenhalgh, M. Griffiths, 2011, Mathematical biosciences.

Mathematical modelling of internal HIV dynamics

X. Mao, D. Greenhalgh, N. Dalal, 2009 .

2016 summer olympic games in Rio de Janeiro , Brazil

C. Struchiner, E. Massad, M. Burattini, 2019 .

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

C. Struchiner, E. Massad, M. Burattini, 2016, BMC Infectious Diseases.

A test to detect replication in HIV serological data labelled by birth date based on the number of matching pairs in a sample.

D. Greenhalgh, M. Doyle, 1999, Statistics in medicine.

Maier, Sandra B. and Huang, Xiao and Massad, Eduardo and Amaku, Marcos and Burattini, Marcelo N. and Greenhalgh, David (2017) Analysis of the optimal vaccination age for Dengue in Brazil with a tetravalent Dengue

E. Massad, M. Burattini, D. Greenhalgh, 2019 .

Parameter estimation for the stochastic SIS epidemic model

X. Mao, D. Greenhalgh, Alison J. Gray, 2014 .

2 Proofs of two conjectures Conjecture

D. Greenhalgh, H. Yang, 2019 .

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

D. Greenhalgh, S. Hutchinson, S. Corson, 2013, Journal of mathematical biology.

Existence, threshold and stability results for an age-structured epidemic model with vaccination and a non-separable transmission coefficient

D. Greenhalgh, 1993 .

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

D. Greenhalgh, S. Clarke, C. Robertson, 2011, Journal of medical microbiology.

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

D. Greenhalgh, C. Robertson, K. Lamb, 2011 .

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

T. J. Mitchell, D. Greenhalgh, S. Clarke, 2014, Vaccine.

Magnitude and frequency variations of vector-borne infection outbreaks using the Ross–Macdonald model: explaining and predicting outbreaks of dengue fever

E. Massad, M. Burattini, F. Coutinho, 2016, Epidemiology and Infection.

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

E. Massad, M. Burattini, D. Greenhalgh, 2020, Mathematical medicine and biology : a journal of the IMA.

Greenhalgh, David and Al-Fwzan, Wafa, Saudi-Arabian Government (Funder) (2009) An improved optimistic three-stage model for the spread of HIV amongst injecting intravenous drug users. Discrete and Continuous Dynamical Systems

D. Greenhalgh, Wafa Al-Fwzan, 2018 .

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

D. Greenhalgh, 2010 .

A Review: Autodissemination of Pyriproxyfen as Novel Strategy to Control Dengue Outbreaks

D. Greenhalgh, R. Hod, M. Sahani, 2020 .

The Optimal Age of Vaccination Against Dengue with an Age-Dependent Biting Rate with Application to Brazil

E. Massad, M. Burattini, D. Greenhalgh, 2020, Bulletin of Mathematical Biology.

Parameter estimation for the stochastic SIS epidemic model

X. Mao, D. Greenhalgh, Alison J. Gray, 2014, Statistical Inference for Stochastic Processes.

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

Xuerong Mao, David Greenhalgh, Yanfeng Liang, 2016 .

A predator–prey model with disease in the prey species only

David Greenhalgh, D. Greenhalgh, M. Haque, 2007 .

Ch. 8. Stochastic processes in epidemic modelling and simulation

David Greenhalgh, D. Greenhalgh, 2003 .

Stochastic models for the spread of HIV amongst intravenous drug users

David Greenhalgh, D. Greenhalgh, Fraser Lewis, 2001 .

Some threshold and stability results for epidemic models with a density-dependent death rate.

D Greenhalgh, D. Greenhalgh, 1992, Theoretical population biology.

Simple two dimensional models for the spread of a disease

D. Greenhalgh, 1989 .

Analytical threshold and stability results on age-structured epidemic models with vaccination.

D Greenhalgh, D. Greenhalgh, 1988, Theoretical Population Biology.

Solution of recurrence relations with applications in epidemic control

D. Greenhalgh, 1987 .

Simple models for control of epidemics

David Greenhalgh, D. Greenhalgh, 1986 .

A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man

Q. J. A. Khan, David Greenhalgh, D. Greenhalgh, 2009 .

A Stochastic Differential Equation SIS Epidemic Model

Liangjian Hu, Xuerong Mao, Alison J. Gray, 2011, SIAM J. Appl. Math..

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

E. Massad, D. Greenhalgh, C. Ferreira, 2017, Malaria Journal.

Evaluation of a mosquito home system for controlling Aedes aegypti

D. Greenhalgh, R. Hod, M. Sahani, 2021, Parasites & vectors.

When a predator avoids infected prey: a model-based theoretical study.

David Greenhalgh, D. Greenhalgh, M. Haque, 2010, Mathematical medicine and biology : a journal of the IMA.

Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity.

D Greenhalgh, O Diekmann, O. Diekmann, 2000, Mathematical biosciences.

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

David Greenhalgh, D. Greenhalgh, S. Hutchinson, 2013, Drug and alcohol dependence.

Evaluating the Potential of Pyriproxyfen Dissemination using Mosquito Home System against Aedes albopictus at a Dengue Hotspot Area

D. Greenhalgh, H. Lee, N. Ahmad, 2021, Sains Malaysiana.

Small-scale field assessment of efficacy of the autodissemination approach against Aedes sp. in an urban area

D. Greenhalgh, N. Ahmad, R. Hod, 2020, bioRxiv.

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

D. Greenhalgh, S. Hutchinson, S. Corson, 2013, Journal of mathematical biology.

Mathematically modelling the spread of hepatitis C in injecting drug users.

D Greenhalgh, D. Greenhalgh, S. Hutchinson, 2012, Mathematical medicine and biology : a journal of the IMA.

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

D. Greenhalgh, S. Hutchinson, S. Corson, 2011, The International journal on drug policy.

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

Xuerong Mao, David Greenhalgh, Yanfeng Liang, 2016, Comput. Math. Methods Medicine.

Bounds on Endemic Disease Levels, Risks and Basic Reproductive Numbers in Heterogenous Models for HIV/AIDS Amongst Injecting Drug Users

D. Greenhalgh, 1997 .

Eco-epidemiological model with fatal disease in the prey

D. Greenhalgh, Q. J. Khan, F. Al-Kharousi, 2020, Nonlinear Analysis: Real World Applications.

EFFECTS OF VARIABLE INFECTIVITY ON THE SPREAD OF HIV/AIDS AMONG INTRAVENOUS DRUG USERS

D. Greenhalgh, F. Lewis, 2001 .

Three stage AIDS incubation period: a worst case scenario using addict-needle interaction assumptions.

D Greenhalgh, D. Greenhalgh, F. Lewis, 2001, Mathematical biosciences.

Some results on optimal control applied to epidemics

David Greenhalgh, D. Greenhalgh, 1988 .

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

Chris Robertson, David Greenhalgh, D. Greenhalgh, 2012, Journal of Biological Dynamics.

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

E. Massad, M. Burattini, F. Coutinho, 2017, Theoretical Biology and Medical Modelling.

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

D. Greenhalgh, P. Roy, A. Chatterjee, 2018 .

Convergence Criteria for Genetic Algorithms

Stephen Marshall, David Greenhalgh, S. Marshall, 2000, SIAM J. Comput..

Modelling the Effect of a Novel Autodissemination Trap on the Spread of Dengue in Shah Alam and Malaysia

David Greenhalgh, Yanfeng Liang, M. N. Ahmad Mohiddin, 2019, Comput. Math. Methods Medicine.

Analysis of the optimal vaccination age for dengue in Brazil with a tetravalent dengue vaccine.

E. Massad, M. Burattini, D. Greenhalgh, 2017, Mathematical biosciences.

The Optimal Age of Vaccination Against Dengue with an Age-Dependent Biting Rate with Application to Brazil

E. Massad, M. Burattini, D. Greenhalgh, 2020, Bulletin of Mathematical Biology.

The SIS epidemic model with Markovian switching

Xuerong Mao, David Greenhalgh, Jiafeng Pan, 2012 .

SDE SIS epidemic model with demographic stochasticity and varying population size

D. Greenhalgh, Y. Liang, X. Mao, 2016, Appl. Math. Comput..

Perturbation analysis of fuzzy linear systems

Liangjian Hu, David Greenhalgh, Zengfeng Tian, 2010, Inf. Sci..

Mathematical modelling of the spread of HIV/AIDS amongst injecting drug users.

D Greenhalgh, G Hay, D. Greenhalgh, 1997, IMA journal of mathematics applied in medicine and biology.

Modeling criminal careers of different levels of offence

E. Massad, D. Greenhalgh, S. M. Raimundo, 2023, Applied Mathematics and Computation.

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

Hyun Mo Yang, David Greenhalgh, D. Greenhalgh, 2015, Appl. Math. Comput..

The Basic Reproduction Number and the Vaccination Coverage Required to Eliminate Rubella from England and Wales

D. Greenhalgh, F. Lewis, N. Sfikas, 2007 .

Control of an epidemic spreading in a heterogeneously mixing population

David Greenhalgh, D. Greenhalgh, 1986 .

Vaccination campaigns for common childhood diseases.

D Greenhalgh, D. Greenhalgh, 1990, Mathematical biosciences.

The general mixing of addicts and needles in a variable-infectivity needle-sharing environment

David Greenhalgh, D. Greenhalgh, Fraser Lewis, 2002, Journal of mathematical biology.

Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity

David Greenhalgh, D. Greenhalgh, 1997 .

Awareness programs control infectious disease - Multiple delay induced mathematical model

Sudip Samanta, Tridip Sardar, Sourav Rana, 2015, Appl. Math. Comput..

SIRS Epidemic Model and Simulations Using Different Types of Seasonal Contact Rate

I. A. Moneim, D. Greenhalgh, 2003 .

Recurrent epidemic cycles in an infectious disease model with a time delay in loss of vaccine immunity

Q. J. A. Khan, David Greenhalgh, D. Greenhalgh, 2005 .

Analytical results on the stability of age-structured recurrent epidemic models.

D Greenhalgh, D. Greenhalgh, David G. Greenhalgh, 1987, IMA journal of mathematics applied in medicine and biology.

Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model

Martin Griffiths, David Greenhalgh, D. Greenhalgh, 2009, Journal of mathematical biology.

A mathematical treatment of AIDS and condom use.

D Greenhalgh, D. Greenhalgh, F. Lewis, 2001, IMA journal of mathematics applied in medicine and biology.

THRESHOLD AND STABILITY RESULTS FOR AN SIRS EPIDEMIC MODEL WITH A GENERAL PERIODIC VACCINATION STRATEGY

David Greenhalgh, I. A. Moneim, D. Greenhalgh, 2005 .

Some bounds on estimates for reproductive ratios derived from the age-specific force of infection.

K Dietz, D Greenhalgh, K. Dietz, 1994, Mathematical biosciences.

Dynamic phenomena arising from an extended Core Group model.

Martin Griffiths, David Greenhalgh, D. Greenhalgh, 2009, Mathematical biosciences.

An improved optimistic three-stage model for the spread of HIV amongst injecting intravenous drug users

D. Greenhalgh, Wafa Al-Fwzan, 2009 .

Effects of heterogeneity on the spread of HIV/AIDS among intravenous drug users in shooting galleries.

D Greenhalgh, D. Greenhalgh, David G. Greenhalgh, 1996, Mathematical biosciences.

Vaccination in density-dependent epidemic models.

D Greenhalgh, D. Greenhalgh, 1992, Bulletin of mathematical biology.

Asymmetry and multiple endemic equilibria in a model for HIV transmission in a heterosexual population

David Greenhalgh, D. Greenhalgh, M. Doyle, 1999 .

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

David Greenhalgh, Chris Robertson, Karen E. Lamb, 2011, J. Comput. Appl. Math..

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

D. Greenhalgh, M. Griffiths, 2011, Mathematical biosciences.

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

T. J. Mitchell, D. Greenhalgh, S. Clarke, 2014, Vaccine.

MODELING THE EFFECT OF A NOVEL AUTO-DISSEMINATION TRAP ON THE SPREAD OF DENGUE IN HIGH-RISE CONDOMINIA, MALAYSIA

E. Massad, D. Greenhalgh, H. Lee, 2018, Journal of Biological Systems.

Mathematical modelling the spread of Zika and Microcephaly in Brazil

D. Greenhalgh, Yanfeng Liang, 2017 .