TY - JOUR
T1 - Mathematical models for hantavirus infection in rodents
AU - Allen, Linda J.S.
AU - McCormack, Robert K.
AU - Jonsson, Colleen B.
N1 - Funding Information:
This research was supported by a grant from the Fogarty International Center #R01TW006986-02 under the NIH NSF Ecology of Infectious Diseases initiative.
PY - 2006/4
Y1 - 2006/4
N2 - 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.
AB - 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.
KW - Hantavirus
KW - SEIR epidemic model
KW - Stochastic differential equation
UR - http://www.scopus.com/inward/record.url?scp=33746651139&partnerID=8YFLogxK
U2 - 10.1007/s11538-005-9034-4
DO - 10.1007/s11538-005-9034-4
M3 - Article
C2 - 16794943
AN - SCOPUS:33746651139
SN - 0092-8240
VL - 68
SP - 511
EP - 524
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 3
ER -