An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity

作者:Bai Mei; Ren Lishun*
来源:Computational and Mathematical Methods in Medicine, 2015, 2015: 420952.
DOI:10.1155/2015/420952

摘要

An SEIV epidemic model for childhood disease with partial permanent immunity is studied. The basic reproduction number R-0 has been worked out. The local and global asymptotical stability analysis of the equilibria are performed, respectively. Furthermore, if we take the treated rate tau as the bifurcation parameter, periodic orbits will bifurcate from endemic equilibrium when tau passes through a critical value. Finally, some numerical simulations are given to support our analytic results.

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