Mathematical Model of Hearing Loss caused by Noise Hazard

Authors

  • Karmand Khdr Ahmad Department of Mathematics, Faculty of science, Soran University, Soran, Erbil, Kurdistan region, Iraq
  • Grace O. Agaba Department of Mathematics and Computer Science, Benue State University, Makurdi, Nigeria
  • Bootan Rahman Mathematics Unit, School of Science and Engineering, University of Kurdistan Hewlêr (UKH), Erbil, Kurdistan Region, Iraq

DOI:

https://doi.org/10.21271/ZJPAS.37.1.2

Keywords:

Health, Noise pollution, Hearing loss, Mathematical model, Stability Analysis

Abstract

Hearing loss is a growing public health concern with serious implications for individual’s quality of life. One major cause of hearing loss is exposure to loud noise. This study proposes a mathematical model of hearing loss caused by noise exposure using ordinary differential equations with the aim of providing a framework for understanding the dynamics of the impact of noise hazard. The model is analyzed using local and global stability to determine conditions under which the level of noise pollution remains constant or changes over time and the threshold level beyond which the effect of noise becomes uncontrollable. Sensitivity analysis is performed to determine parameters with greater influence and the ones to control in order to reduce impact of noise exposure. The findings highlight the importance of various parameters in the dynamics of hearing loss by noise exposure and in developing effective strategies for preventing and managing hearing loss.

References

AGARWAL, S. K. 2005. Environmental monitoring, APH Publishing.

ALBERTI, P. W. 2001. The anatomy and physiology of the ear and hearing. Occupational exposure to noise: Evaluation, prevention, and control, 53-62.

CHEN, K.-H., SU, S.-B. & CHEN, K.-T. 2020. An overview of occupational noise-induced hearing loss among workers: epidemiology, pathogenesis, and preventive measures. Environmental health and preventive medicine, 25, 65.

DICKSON, E. 1953. Some effects of intense sound and ultrasound on the ear. SAGE Publications.

GONZÁLEZ, A. E. 2014. What does “noise pollution” mean? Journal of Environmental Protection, 2014.

HEARING, H. 2021. Causes and treatments for temporary hearing loss [Online]. Healthy Hearing. Available: https://www.healthyhearing.com/report/47736-Temporary-hearing-loss-treatment [Accessed 20/9/2022].

INTERNATIONAL LABOUR ORGANIZATION. 2014. Physical Hazards Noise [Online]. ILO. Available: https://www.ilo.org/resource/physical-hazards-noise [Accessed 1/10/2022].

KOUILILY, F., ABOULKHOUATEM, F.-E., YOUSFI, N., EL KHASMI, M. & ACHTAICH, N. 2018a. Mathematical model of hearing loss caused by viral infection. Revue Africaine de Recherche en Informatique et Mathématiques Appliquées.

KOUILILY, F., ABOULKHOUATEM, F., YOUSFI, N., ACHTAICH, N. & EL KHASMI, M. 2018b. Modeling the social and epidemiological causes of hearing loss. Revista mexicana de ingeniería biomédica, 39, 238-248.

KUMAR, B., OBEROI, S. V. & GOENKA, A. A brief review of the legislative aspects of noise pollution. Workshop on Environmental Pollution: Perspectives and Practices, organized by Institute of Engineering and Technology, Lucknow, India, April, 2004. Citeseer, 53-65.

LEE, C. S. & FLEMING, G. G. 2002. General health effects of transportation noise.

MAHANDIYAN, V. 2006. Environmental Noise Pollution (Causes, Evils, Legislation and Controls), Deep and Deep Publications.

MARTCHEVA, M. 2015. An introduction to mathematical epidemiology, Springer.

NATARAJAN, N., BATTS, S. & STANKOVIC, K. M. 2023. Noise-Induced Hearing Loss. Journal of Clinical Medicine, 12, 2347.

NATIONAL RESEARCH COUNCIL COMMITTEE ON DISABILITY DETERMINATION FOR INDIVIDUALS WITH HEARING, I. 2004. In: DOBIE, R. A. & VAN HEMEL, S. (eds.) Hearing Loss: Determining Eligibility for Social Security Benefits. Washington (DC): National Academies Press (US)

Copyright 2005 by the National Academy of Sciences. All rights reserved.

ORGANIZATION, W. H. 2009. Global health risks: mortality and burden of disease attributable to selected major risks [Online]. WHO. Available: https://iris.who.int/handle/10665/44203. [Accessed 22/9/2022].

ORGANIZATION, W. H. 2022. Deafness and hearing loss [Online]. WHO. Available: https://www.who.int/news-room/fact-sheets/detail/deafness-and-hearing-los. [Accessed 5/9/2022].

QUTUBUDDIN, S., HEBBAL, S. & KUMAR, A. 2012. A review on effect of industrial noise on the performance of worker and productivity. International Review of Applied Engineering Research, 2, 43-54.

RAHMAN, B., KHOSHNAW, S. H., AGABA, G. O. & AL BASIR, F. 2021. How containment can effectively suppress the outbreak of COVID-19: a mathematical modeling. Axioms, 10, 204.

SCHMIDT, C. W. 2005. Noise that annoys: Regulating unwanted sound. National Institue of Environmental Health Sciences.

SCHNEIDERMAN, T. 2023. Temporary hearing loss treatment [Online]. ENT. Available: https://www.drschneiderman.com/audiology-services/temporary-hearing-loss/ [Accessed 1/11/2023].

SHAPIRO, Z. 2019. Hearing Loss and the Increased Risk of Falls. Leader Live.

SINGH, S. 1991. Environmental geography. Prayag Pustak Bhawan.

ŠUŠKOVIĆ, D. & FAJT, S. Noise-induced hearing loss. The 5th Congress of the Alps Adria Acoustics Association, Petrčane, Croatia, 2012.

VANADEEP, K. & KRISHNAIAH, M. 2011. Variation of ambient noise quality at residential areas with different living environs in and around Tirupati. Indian J. Environ. & Ecoplan, 18, 192-209.

VASUDEVAN, N. Essentials of Environmental Science. 2006.

WORLD HEALTH ORGANIZATION. 1999. Guidelines for community noise [Online]. London: WHO. Available: https://www.who.int/publications/i/item/a68672 [Accessed 21/8/2022].

Published

2025-02-28

How to Cite

Karmand Khdr Ahmad, Grace O. Agaba, & Rahman, B. (2025). Mathematical Model of Hearing Loss caused by Noise Hazard. Zanco Journal of Pure and Applied Sciences, 37(1), 13–23. https://doi.org/10.21271/ZJPAS.37.1.2

Issue

Section

Mathematics, Physics and Geological Sciences