An epidemiological model of Rift Valley fever




Gaff, Holly D.
Hartley, David M.
Leahy, Nicole

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Texas State University-San Marcos, Department of Mathematics


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.



Rift Valley fever, Mosquito-borne disease, Livestock disease, Mathematical epidemiology, Compartmental model, Sensitivity analysis


Gaff, H. D., Hartley, D. M., & Leahy, N. P. (2007). An epidemiological model of Rift Valley fever. <i>Electronic Journal of Differential Equations, 2007</i>(115), pp. 1-12.


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