The Existence of Positive Nonconstant Steady States in a Reaction: Diffusion Epidemic Model

We investigate the disease’s dynamics of a reaction-diffusion epidemic model. We first give a priori estimates of upper and lower bounds for positive solutions to model and then give the conditions of the existence and nonexistence of the positive nonconstant steady states, which guarantees the exis...

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Bibliographic Details
Main Authors: Yuan Yuan, Hailing Wang, Weiming Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/921401