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Seventh Mississippi State - UAB Conference on Differential Equations & Computational Simulations
November 1-3, 2007
Doubletree Hotel
Birmingham, AL, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Traveling Waves in Diffusive Ross-Macdonald Type Host-Vector Models
by
Shigui Ruan
University of Miami

In this paper, a host-vector model is considered for a disease without immunity in which the current density of infectious vectors is related to the number of infectious hosts at earlier times. Spatial spread in a region is modeled by a system of two reaction-diffusion equations. When the spatial variable is one-dimensional, we establish the existence of traveling wave solutions.

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Date received: September 1, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauf-95.