Asymptotic behavior of an SEI epidemic model with diffusion

作者:Kim Kwang Ik; Lin Zhigui
来源:Mathematical and Computer Modelling, 2008, 47(11-12): 1314-1322.
DOI:10.1016/j.mcm.2007.08.004

摘要

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.