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An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity.

ABSTRACT: 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 ? as the bifurcation parameter, periodic orbits will bifurcate from endemic equilibrium when ? passes through a critical value. Finally, some numerical simulations are given to support our analytic results.

SUBMITTER: Bai M

PROVIDER: S-EPMC4450308 | biostudies-literature | 2015

REPOSITORIES: biostudies-literature

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An SEIV Epidemic Model for Childhood Diseases with Partial Permanent Immunity.

Bai Mei M Ren Lishun L

Computational and mathematical methods in medicine 20150518

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 τ as the bifurcation parameter, periodic orbits will bifurcate from endemic equilibrium when τ passes through a critical value. Finally, some numerical simulations are given to support our analytic results. ...[more]

PMID: 26120353

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