Canine distemper outbreak modeled in an animal shelter

  • Ashley Dantzler Mathematics Department, University of Tennessee at Chattanooga, Chattanooga, TN, USA
  • Margaux Hujoel Mathematics Department, Harvey Mudd College, Claremont, CA, USA
  • Virginia Parkman Mathematics Department, University of Tennessee, Knoxville, TN, USA
  • Ayana Wild Mathematics Department, Tennessee State University, Nashville, TN, USA
  • Suzanne Lenhart Mathematics Department, University of Tennessee, Knoxville, TN, USA
  • Benjamin Levy Mathematics Department, University of Tennessee, Knoxville, TN, USA
  • Rebecca Wilkes College of Veterinary Medicine, University of Georgia, Tifton, GA, USA
Keywords: Canine distemper, infectious disease modelling, basic reproductive number, ordinary differential equations

Abstract

Canine distemper virus (CDV) is a highly contagious virus that can cause outbreaks, specifically in crowding situations, such as an animal shelter, in which a large number of susceptible dogs are brought together. Introduction of this virus into a shelter can have devastating effects, potentially resulting in shelter canine depopulation. Motivated by recent outbreaks in Tennessee, a mathematical model was constructed to find relevant factors that could assist in preventing or reducing outbreaks. A system of ordinary differential equations was derived to represent the spread of CDV through susceptible, exposed, infected and recovered (S–E–I–R) classes as well as a vaccinated (V) class. Our model was adapted to represent a local Knoxville shelter. The effects of various control methods, both preventative and corrective, on disease spread were investigated.

Published
2016-12-01
How to Cite
Dantzler, Ashley, Margaux Hujoel, Virginia Parkman, Ayana Wild, Suzanne Lenhart, Benjamin Levy, and Rebecca Wilkes. 2016. “Canine Distemper Outbreak Modeled in an Animal Shelter”. Letters in Biomathematics 3 (1), 13-28. https://doi.org/10.1080/23737867.2016.1148644.
Section
Research