IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v386y2020ics009630032030432x.html
   My bibliography  Save this article

Epidemic spreading by indirect transmission in a compartmental farm

Author

Listed:
  • Coll, Carmen
  • Sánchez, Elena

Abstract

In this paper, we present a discrete dynamic system which describes an epidemic spreading within a single farm, where animals are separated into batches. In this model, we consider an indirect transmission of the disease coming from the bacteria remaining in the reservoir and taking into account the transfer of bacteria between adjacent compartments. In our model, tridiagonal matrices of non-negative blocks are involved. The development of the matrix spectral properties allows us to improve our understanding of the epidemic spreading within a farm with the above mentioned characteristics. Based on the results obtained, we have determined some bounds to obtain the maximum number of batches and the maximum population in each batch to ensure that the disease dies out.

Suggested Citation

  • Coll, Carmen & Sánchez, Elena, 2020. "Epidemic spreading by indirect transmission in a compartmental farm," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s009630032030432x
    DOI: 10.1016/j.amc.2020.125473
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032030432X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125473?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marius Gilbert & Giulia Conchedda & Thomas P Van Boeckel & Giuseppina Cinardi & Catherine Linard & Gaëlle Nicolas & Weerapong Thanapongtharm & Laura D'Aietti & William Wint & Scott H Newman & Timothy , 2015. "Income Disparities and the Global Distribution of Intensively Farmed Chicken and Pigs," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-14, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Leight, Jessica & Awonon, Josué & Pedehombga, Abdoulaye & Ganaba, Rasmané & Gelli, Aulo, 2022. "How light is too light touch: The effect of a short training-based intervention on household poultry production in Burkina Faso," Journal of Development Economics, Elsevier, vol. 155(C).
    2. Romain Espinosa & Damian Tago & Nicolas Treich, 2020. "Infectious Diseases and Meat Production," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 76(4), pages 1019-1044, August.
    3. Chaiban, Celia & Biscio, Christophe & Thanapongtharm, Weerapong & Tildesley, Michael & Xiao, Xiangming & Robinson, Timothy P. & Vanwambeke, Sophie O. & Gilbert, Marius, 2019. "Point pattern simulation modelling of extensive and intensive chicken farming in Thailand: Accounting for clustering and landscape characteristics," Agricultural Systems, Elsevier, vol. 173(C), pages 335-344.
    4. Martin C. Parlasca & Matin Qaim, 2022. "Meat Consumption and Sustainability," Annual Review of Resource Economics, Annual Reviews, vol. 14(1), pages 17-41, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s009630032030432x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.