Mathematical Modelling of Gonorrhoea Spread in Northern Ireland between 2012 and 2022

Author:

Kiss Gabor1,Corken Daniel1,Hall Rebecca1,Ibrahim Alhassan23,Moutari Salissou1ORCID,Kee Frank4,Armstrong Gillian5,Bradley Declan45,Middleton Maeve5,Patterson Lynsey45,Lamrock Felicity1

Affiliation:

1. Mathematical Sciences Research Centre, School of Mathematics & Physics, Queen’s University Belfast, Belfast BT7 1NN, UK

2. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology, Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

3. School of Continuing Education, Bayero University, Kano 700251, Nigeria

4. Centre for Public Health, Queen’s University Belfast, Belfast BT12 6BA, UK

5. Public Health Agency, Belfast BT2 8BS, UK

Abstract

The number of confirmed positive tests of various sexually transmitted infections has grown recently in the United Kingdom. The objective of this study is to propose a deterministic compartmental model to investigate gonorrhoea spread in Northern Ireland between 2012 and 2022. The differential equation based model includes both symptomatic and asymptomatic spread, spontaneous recovery and treatment compartments. After fitting our model to the monthly number of new positive tests, we found that the basic reproduction number is approximately 1.0030. In addition, we derive the endemic equilibrium of the model, which exists if and only if R0>1. The sensitivity analyses of the basic reproduction number and the endemic values of the compartments of treated individuals indicate that infection spreading time can have a significant impact on gonorrhoea spread.

Funder

Engineering and Physical Sciences Research Council

Publisher

MDPI AG

Reference76 articles.

1. BBC (2023, May 23). Gonorrhoea and Syphilis Sex Infections Reach Record Levels in England. Available online: https://www.bbc.co.uk/news/health-65810160.

2. Rebound of Gonorrhea after Lifting of COVID-19 Preventive Measures, England;Fountain;Emerg. Infect. Dis.,2024

3. NHS Inform (2023, February 03). Gonorrhoea. Available online: https://www.nhsinform.scot/illnesses-and-conditions/sexual-and-reproductive/gonorrhoea.

4. BBC (2023, May 23). Northern Ireland Sexual Health: Gonorrhoea Cases in Northern Ireland Highest on Record. Available online: https://www.bbc.co.uk/news/uk-northern-ireland-49204784.

5. (2023, April 24). Gonorrhoea (Neisseria Gonorrhoeae Infection). Available online: https://www.who.int/news-room/fact-sheets/detail/gonorrhoea-(neisseria-gonorrhoeae-infection).

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