Mathematical models for hantavirus infection in rodents

L. J S Allen, Robert K. McCormack, Colleen Jonsson

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

Hantavirus pulmonary syndrome is an emerging disease of humans that is carried by wild rodents. Humans are usually exposed to the virus through geographically isolated outbreaks. The driving forces behind these outbreaks is poorly understood. Certainly, one key driver of the emergence of these viruses is the virus population dynamics within the rodent population. Two new mathematical models for hantavirus infection in rodents are formulated and studied. The new models include the dynamics of susceptible, exposed, infective, and recovered male and female rodents. The first model is a system of ordinary differential equations while the second model is a system of stochastic differential equations. These new models capture some of the realistic dynamics of the male/female rodent hantavirus interaction: higher seroprevalence in males and variability in seroprevalence levels.

Original languageEnglish (US)
Pages (from-to)511-524
Number of pages14
JournalBulletin of Mathematical Biology
Volume68
Issue number3
DOIs
StatePublished - Apr 1 2006

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Hantavirus Infections
Hantavirus
rodent
Infection
Rodentia
rodents
Theoretical Models
mathematical models
Mathematical Model
Mathematical models
Virus
Viruses
virus
infection
Seroepidemiologic Studies
seroprevalence
viruses
Disease Outbreaks
Hantavirus Pulmonary Syndrome
Sin Nombre virus

All Science Journal Classification (ASJC) codes

  • Agricultural and Biological Sciences(all)

Cite this

Mathematical models for hantavirus infection in rodents. / Allen, L. J S; McCormack, Robert K.; Jonsson, Colleen.

In: Bulletin of Mathematical Biology, Vol. 68, No. 3, 01.04.2006, p. 511-524.

Research output: Contribution to journalArticle

Allen, L. J S ; McCormack, Robert K. ; Jonsson, Colleen. / Mathematical models for hantavirus infection in rodents. In: Bulletin of Mathematical Biology. 2006 ; Vol. 68, No. 3. pp. 511-524.
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