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Epidemic spreading by indirect transmission in a compartmental farm

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  • 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
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    References listed on IDEAS

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    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.
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