Holly D. Gaff, David M. Hartley, Nicole P. Leahy
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.
Show me the PDF file (422 KB), TEX file, and other files for this article.
 |
Holly D. Gaff College of Health Sciences Old Dominion University Norfolk VA 23529, USA email: hgaff@odu.edu |
|---|---|
 |
David. M. Hartley Georgetown University School of Medicine Washington, DC 20007, USA email: hartley@isis.georgetown.edu |
| Nicole P. Leahy Department of Epidemiology and Preventive Medicine University of Maryland School of Medicine Baltimore, MD 21201, USA email: nicole.leahy@jax.org |
Return to the EJDE web page