NDLI: Disease eradication on large industrial farms

Content Provider	Springer Nature Link
Author	Rozins, Carly Day, Troy
Copyright Year	2016
Abstract	Many modern farms exhibit all-in-all-out dynamics in which entire cohorts of livestock are removed from a farm before a new cohort is introduced. This industrialization has enabled diseases to spread rapidly within farms. Here we look at one such example, Marek’s disease. Marek’s disease is an economically important disease of poultry. The disease is transmitted indirectly, enabling the spread of disease between cohorts of chickens who have never come into physical contact. We develop a model which allows us to track the transmission of disease within a barn and between subsequent cohorts of chickens occupying the barn. It is described by a system of impulsive differential equations. We determine the conditions that lead to disease eradication. For a given level of transmission we find that disease eradication is possible if the cohort length is short enough and/or the cohort size is small enough. Marek’s disease can also be eradicated from a farm if the cleaning effort between cohorts is large enough. Importantly complete cleaning is not required for eradication and the threshold cleaning effort needed declines as both cohort duration and size decrease.
Ending Page	902
Page Count	18
Starting Page	885
File Format	PDF
ISSN	03036812
e-ISSN	14321416
Journal	Journal of Mathematical Biology
Issue Number	4
Volume Number	73
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-02-22
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Impulsive differential equation Dynamical systems in biology Infectious disease Livestock production General biology and biomathematics Poultry Mathematical and Computational Biology Indirect transmission Applications of Mathematics SIR All-in-all-out
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Agricultural and Biological Sciences Modeling and Simulation

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