On the Mathematical Modelling and Analysis of Listeriosis from Contaminated Food Products

V. M. Mbalilo, C. W. Chukwu, F. Nyabadza

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

Listeriosis is a food-borne disease caused by a bacterium known as Listeria monocytogens. Humans can be infected by consuming contaminated food products. A transmission can also occur through contact with infected animals or people, however to a less extent. In this paper, a mathematical model for Listeriosis dynamics was developed. The steady states and their stability of the model system were determined and analyzed. The result shows that the disease-free equilibrium is asymptotically stable if the bacteria's growth rate is less than its removal rate, and also the growth rate of food contamination is less than its removal rate. It was further observed that we can still have Listeriosis driven by the contaminated food products even if the Listeria bacteria population in the environment is very small.The results indicate that Listeriosis can be effectively controlled by removing contaminated food products, which was the policy adopted by the South African government during the recent Listeriosis outbreak.

Original languageEnglish
Title of host publication8th Symposium on Biomathematics, Symomath 2021
Subtitle of host publicationBridging Mathematics and Covid-19 Through Multidisciplinary Collaboration
EditorsNoorma Yulia Megawati, Nanang Susyanto, Dwi Ertiningsih, Eminugroho Ratna Sari, Fitriana Yuli Saptaningtyas, Made Tantrawan, Oki Almas Amalia, Susiana
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735443648
DOIs
Publication statusPublished - 2 Aug 2022
Event8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021 - Yogyakarta, Indonesia
Duration: 16 Jul 202117 Jul 2021

Publication series

NameAIP Conference Proceedings
Volume2498
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th Symposium on Biomathematics: Bridging Mathematics and Covid-19 Through Multidisciplinary Collaboration, Symomath 2021
Country/TerritoryIndonesia
CityYogyakarta
Period16/07/2117/07/21

ASJC Scopus subject areas

  • General Physics and Astronomy

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