Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 115, pp. 1-12.

Title: An epidemiological model of Rift Valley fever

Authors: Holly D. Gaff    (Old Dominion Univ., Norfolk VA, USA)
         David M. Hartley (Georgetown Univ., Washington, DC, USA)
	 Nicole P. Leahy  (Univ. of Maryland, MD, USA)

Abstract: 
 We present and explore a novel mathematical model of the epidemiology of
 Rift Valley Fever (RVF). RVF is an Old World, mosquito-borne disease 
 affecting both livestock and humans. The model is an ordinary differential
 equation model for two populations of mosquito species, those that can 
 transmit vertically and those that cannot, and for one livestock population. 
 We analyze  the model to find the stability of the disease-free equlibrium 
 and test which model parameters affect this stability most significantly. 
 This model is the basis for future research into the predication of 
 future outbreaks in the Old World and the assessment of the threat of
 introduction into the New World.
 
Submitted October 10, 2006. Published August 22, 2007.
Math Subject Classifications: 34A12, 34D05, 92B05.
Key Words: Rift Valley fever; mosquito-borne disease; livestock disease; 
    mathematical epidemiology; compartmental model; sensitivity analysis.