Population dispersal and disease spread

Wendi Wang

doi:10.3934/dcdsb.2004.4.797

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2004, Volume 4, Issue 3: 797-804. Doi: 10.3934/dcdsb.2004.4.797

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Population dispersal and disease spread

Wendi Wang^1,

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

Received: February 2003

Revised: December 2003

Published: August 2005

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Abstract

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.

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Mathematics Subject Classification: 92D30.

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