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

Authors

  • Morganne Igoe Department of Mathematics, University of Tennessee, Knoxville, TN Author
  • E. Joe Moran Department of Ecology, Pennsylvania State University, University Park, PA Author
  • Theresa R. Sheets Department of Mathematics, University of Utah, Salt Lake City, UT Author
  • Jeff DeSalu Ecology and Evolutionary Biology Department, University of Tennessee, Knoxville, TN Author
  • Colleen B. Jonsson Department of Microbiology, Immunology, and Biochemistry, U. of Tennessee Health Sciences Center, Memphis, TN Author
  • Suzanne Lenhart Department of Mathematics, University of Tennessee, Knoxville, TN National Institute for Mathematical and Biological Synthesis, Knoxville, TN Author
  • Robert D. Owen Department of Biological Sciences, Texas Tech University, Lubbock, TX Centro para el Desarrollo de Investigación Científica, Asunción, Paraguay Author
  • Megan A. Rúa Department of Biological Sciences, Wright State University, Dayton, OH Author

DOI:

https://doi.org/10.30707/LiB7.1.1647875326.032252

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.

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Published

2020-09-17

Issue

Section

Research

How to Cite

A Discrete Age Structured Model of Hantavirus in a Rodent Reservoir in Paraguay. (2020). Letters in Biomathematics, 7(1), 127-142. https://doi.org/10.30707/LiB7.1.1647875326.032252

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