# American Institute of Mathematical Sciences

August  2004, 4(3): 797-804. doi: 10.3934/dcdsb.2004.4.797

## Population dispersal and disease spread

 1 Department of Mathematics, Southwest Normal University, Chongqing, 400715, China

Received  February 2003 Revised  December 2003 Published  May 2004

An epidemic model is studied to understand the effect of a population dispersal on the spread of a disease in two patches. Under the assumption that the dispersal of infectious individuals is barred, it is found that susceptive dispersal may cause the spread of the disease in one patch even though the disease dies out in each isolated patch. For the case where the disease spreads in each isolated patch, it is shown that suitable susceptive dispersal can lead to the extinction of the disease in one patch.
Citation: Wendi Wang. Population dispersal and disease spread. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 797-804. doi: 10.3934/dcdsb.2004.4.797
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