A Discrete Age Structured Model of Hantavirus in a Rodent Reservoir in Paraguay

  • Morganne Igoe University of Tennessee Knoxville
  • E. Joe Moran Memorial University of Newfoundland
  • Theresa R. Sheets University of Utah
  • Jeff DeSalu University of Tennessee Knoxville
  • Colleen B. Jonsson University of Tennessee Health Sciences Center
  • Suzanne Lenhart University of Tennessee Knoxville
  • Robert D. Owen Texas Tech University and Centro para el Desarrollo de Investigación Científica
  • Megan A. Rúa Wright State University
Keywords: epidemiological model, hantavirus in rodents, discrete time, age structure

Abstract

Many rodent-borne hantaviruses are zoonotic pathogens that can cause disease in humans through inhalation of aerosolized rodent excreta. To evaluate the prevalence of Jaborá virus (JABV) over time within its rodent reservoir, Akodon montensis, we formulated a mathematical model with multiple rodent age classes and unique infection class progression features. We then parameterized the model with data collected from a survey of JABV harbored by Akodon montensis in the Mbaracayú Reserve in Paraguay. Our model incorporates three types of infection over the lifetime of the rodent as well as a recovered class. A new feature of the model allows transition from the latent to the persistently-infected class. With a more complete age and infection structure, we are better able to identify the driving forces of epidemiology of hantaviruses in rodent populations.

Published
2020-09-17
How to Cite
Igoe, Morganne, E. Joe Moran, Theresa Sheets, Jeff DeSalu, Colleen B. Jonsson, Suzanne Lenhart, Robert D. Owen, and Megan A. Rúa. 2020. “A Discrete Age Structured Model of Hantavirus in a Rodent Reservoir in Paraguay”. Letters in Biomathematics 7 (1), 127–142. https://lettersinbiomath.journals.publicknowledgeproject.org/index.php/lib/article/view/333.
Section
Research