An SEIV epidemic model for childhood diseases with partial permanent immunity (Q308803)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An SEIV epidemic model for childhood diseases with partial permanent immunity |
scientific article; zbMATH DE number 6624007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An SEIV epidemic model for childhood diseases with partial permanent immunity |
scientific article; zbMATH DE number 6624007 |
Statements
An SEIV epidemic model for childhood diseases with partial permanent immunity (English)
0 references
6 September 2016
0 references
Summary: 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.
0 references
partial permanent immunity
0 references
basic reproduction number
0 references
asymptotical stability analysis
0 references
0 references
0 references
0 references
