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Modelling the potential role of media campaigns on the control of Listeriosis

  • Received: 28 June 2021 Accepted: 17 August 2021 Published: 02 September 2021
  • Human Listeria infection is a food-borne disease caused by the consumption of contaminated food products by the bacterial pathogen, Listeria. In this paper, we propose a mathematical model to analyze the impact of media campaigns on the spread and control of Listeriosis. The model exhibited three equilibria namely; disease-free, Listeria-free and endemic equilibria. The food contamination threshold is determined and the local stability analyses of the model is discussed. Sensitivity analysis is done to determine the model parameters that most affect the severity of the disease. Numerical simulations were carried out to assess the role of media campaigns on the Listeriosis spread. The results show that; an increase in the intensity of the media awareness campaigns, the removal rate of contaminated food products, a decrease in the contact rate of Listeria by humans results in fewer humans getting infected, thus leading to the disease eradication. An increase in the depletion of media awareness campaigns results in more humans being infected with Listeriosis. These findings may significantly impact policy and decision-making in the control of Listeriosis disease.

    Citation: C. W. Chukwu, F. Nyabadza, Fatmawati. Modelling the potential role of media campaigns on the control of Listeriosis[J]. Mathematical Biosciences and Engineering, 2021, 18(6): 7580-7601. doi: 10.3934/mbe.2021375

    Related Papers:

  • Human Listeria infection is a food-borne disease caused by the consumption of contaminated food products by the bacterial pathogen, Listeria. In this paper, we propose a mathematical model to analyze the impact of media campaigns on the spread and control of Listeriosis. The model exhibited three equilibria namely; disease-free, Listeria-free and endemic equilibria. The food contamination threshold is determined and the local stability analyses of the model is discussed. Sensitivity analysis is done to determine the model parameters that most affect the severity of the disease. Numerical simulations were carried out to assess the role of media campaigns on the Listeriosis spread. The results show that; an increase in the intensity of the media awareness campaigns, the removal rate of contaminated food products, a decrease in the contact rate of Listeria by humans results in fewer humans getting infected, thus leading to the disease eradication. An increase in the depletion of media awareness campaigns results in more humans being infected with Listeriosis. These findings may significantly impact policy and decision-making in the control of Listeriosis disease.



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    [1] H. Hof, History and epidemiology of Listeriosis, FEMS Immunol. Med. Microbiol., 35 (2003), 199–202. doi: 10.1016/S0928-8244(02)00471-6
    [2] BIOHAZ, A. Ricci, A. Allende, D. Bolton, M. Chemaly, R. Davies, et al., Listeria monocytogenes contamination of ready-to-eat foods and the risk for human health in the EU, EFSA J., 16 (2018), e05134.
    [3] E. Tambo, C. S. Yah, G. Madjou, Deadly Listeriosis outbreaks in South Africa and Australia: re-inforcing food safety surveillance and emergency response actions, J. Adv. Virol. Res., 1 (2018), 1–9.
    [4] A. Schuchat, B. Swaminathan, C. V. Broome, Epidemiology of human Listeriosis, Clin. Microbiol. Rev., 4 (1991), 169–183. doi: 10.1128/CMR.4.2.169
    [5] National Listeria Incident Management Team, 2020. Available from: http://www.health.gov.za/index.php/component/phocadownload/category/439.
    [6] Advertising campaign, 2021. Available from: https://en.wikipedia.org/wiki/Advertising_campaign.
    [7] J. Li, Effects of behavior change on the spread of AIDS epidemic, Math. Comput. Modell., 16 (1992), 103–111.
    [8] S. Funk, E. Gilad, C. Watkins, V. A. Jansen, The spread of awareness and its impact on epidemic outbreaks, Proc. Natl. Acad. Sci., 106 (2009), 6872–6877. doi: 10.1073/pnas.0810762106
    [9] D. Njankou, S. Diane, F. Nyabadza, Modelling the potential role of media campaigns in ebola transmission dynamics, Int. J. Differ. Equations, 2017 (2017), 3758269.
    [10] F. Nyabadza, C. Chiyaka, Z. Mukandavire, S. Musekwa, Analysis of an HIV/AIDS model with public-health information campaigns and individual withdrawal, J. Biol. Syst., 18 (2010), 357–375. doi: 10.1142/S0218339010003329
    [11] M. A. Khan, H. P. Odinsyah, Fractional model of HIV transmission with awareness effect, Chaos Solitons Fractals, 138 (2020), 109967. doi: 10.1016/j.chaos.2020.109967
    [12] M. A. Khan, S. Ullah, Y. Khan, M. Farhan, Modeling and scientific computing for the transmission dynamics of Avian Influenza with half-saturated incidence, Int. J. Modell. Simul. Sci. Comput., 11 (2020), 2050035. doi: 10.1142/S179396232050035X
    [13] C. W. Chukwu, F. Nyabadza, Mathematical modelling of Listeriosis incorporating effect of awareness programs, Math. Models Comput. Simul., 13 (2021), 723–741. doi: 10.1134/S2070048221040116
    [14] M. F. Khan, H. Alrabaiah, S. Ullah, M. A. Khan, M. Farooq, M. bin Mamat, et al., A new fractional model for vector-host disease with saturated treatment function via singular and non-singular operators, Alex. Eng. J., 60 (2021), 629–645. doi: 10.1016/j.aej.2020.09.057
    [15] M. A. Khan, Parameter estimation and fractional derivatives of dengue transmission model, AIMS Math., 5 (2020), 2758–2779. doi: 10.3934/math.2020178
    [16] A. K. Misra, A. Sharma, J. B. Shukla, Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases, Math. Comput. Modell., 53 (2011), 1221–1228. doi: 10.1016/j.mcm.2010.12.005
    [17] N. Kaur, M. Ghosh, S. S. Bhatia, Modeling and analysis of an SIRS epidemic model with effect of awareness programs by media, Int. J. Math. Comput. Nat. Phys. Eng., 8 (2014), 233–239.
    [18] G. O. Agaba, Y. N. Kyrychko, K. B. Blyuss, Mathematical model for the impact of awareness on the dynamics of infectious diseases, Math. Biosci., 286 (2017), 22–30. doi: 10.1016/j.mbs.2017.01.009
    [19] A. Sharma, A. K. Misra, Backward bifurcation in a smoking cessation model with media campaigns, Appl. Math. Modell., 39 (2015), 1087–1098. doi: 10.1016/j.apm.2014.07.022
    [20] A. Kumar, P. K. Srivastava, Y. Takeuchi, Modeling the role of information and limited optimal treatment on disease prevalence, J. Theor. Biol., 414 (2017), 103–119. doi: 10.1016/j.jtbi.2016.11.016
    [21] K. A. Pawelek, A. Oeldorf-Hirsch, L. Rong, Modeling the impact of Twitter on influenza epidemics, Math. Biosci. Eng., 11 (2014), 1337–1356. doi: 10.3934/mbe.2014.11.1337
    [22] W. Chukwu, J. Mushanyu, M. L. Juga, A mathematical model for co-dynamics of listeriosis and bacterial meningitis diseases, Commun. Math. Biol. Neurosci., 2020 (2020), 83.
    [23] S. Osman, O. D. Makinde, D. M. Theuri, Stability analysis and modelling of listeriosis dynamics in human and animal populations, Glob. J. Pure Appl. Math., 14 (2018), 115–137.
    [24] W. Chukwu, F. Nyabadza, A theoretical model of listeriosis driven by cross contamination of ready-to-eat food products, Int. J. Math. Math. Sci., 2020 (2020), 9207403.
    [25] W. Chukwu, F. Nyabadza, A mathematical model and optimal control of Listeriosis from ready-to-eat food products, preprint, medRxiv: 2020.10.11.20210856.
    [26] X. Yang, L. Chen, J. Chen, Permanence and positive periodic solution for the single-species nonautonomous delay diffusive models, Comput. Math., 32 (1996), 109–116.
    [27] O. Diekmann, J. A. P. Heesterbeek, J. A. J. Metz, On the definition and the computation of the basic reprodution ratio $R_{0}$ in models for infectious diseases in heterogeneous populations, J. Math. Biolv., 28 (1990), 365–382.
    [28] P. A. Winter, C. L. Jessop, F. J. Adewusi, The complete graph: eigenvalues, trigonometrical unit-equations with associated t-complete-eigen sequences, ratios, sums and diagrams, Asian J. Math. Sci. Res., 9 (2015), 92–107.
    [29] S. Marino, I. B. Hogue, C. J. Ray, D. E. Kirschner, A methodology for performing global uncertainty and sensitivity analysis in systems biology, J. Theor. Biol., 254 (2008), 178–96. doi: 10.1016/j.jtbi.2008.04.011
    [30] M. M. Khalsaraeia, A. Shokria, H. Ramos, S. Heydari, A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease, Math. Comput. Simul., 182 (2021), 397–410. doi: 10.1016/j.matcom.2020.11.013
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