Asymptotic behavior of an SEI epidemic model with diffusion
SCIE
SCOPUS
- Title
- Asymptotic behavior of an SEI epidemic model with diffusion
- Authors
- Kim, KI; Lin, ZG
- Date Issued
- 2008-06
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- An SEI epidemic model with constant recruitment and infectious force in the latent period is investigated. This model describes the transmission of diseases such as SARS. The behavior of positive solutions to a reaction-diffusion system with homogeneous Neumann boundary conditions are investigated. Sufficient conditions for the local and global asymptotical stability are given by linearization and by the method of upper and lower solutions and its associated monotone iterations. Our result shows that the disease-free equilibrium is globally asymptotically stable if the contact rate is small. (c) 2007 Elsevier Ltd. All rights reserved.
- Keywords
- reaction-diffusion systems; SEI model; SARS; dynamics; TOTAL POPULATION-SIZE; GLOBAL STABILITY; HOPF-BIFURCATION; CONTACT RATE; FOX RABIES; DYNAMICS; IMMUNITY; DISEASES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29393
- DOI
- 10.1016/J.MCM.2007.0
- ISSN
- 0895-7177
- Article Type
- Article
- Citation
- MATHEMATICAL AND COMPUTER MODELLING, vol. 47, no. 11-12, page. 1314 - 1322, 2008-06
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