Global dynamics of an SEI model with acute and chronic stages

✍ Scribed by Junli Yuan; Zuodong Yang

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 221 KB
• Volume: 213
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.01.042

✦ Synopsis

A model with acute and chronic stages in a population with exponentially varying size is proposed. An equivalent system is obtained, which has two equilibriums: a disease-free equilibrium and an endemic equilibrium. The stability of these two equilibriums is controlled by the basic reproduction number R 0 . When R 0 < 1, the disease-free equilibrium is globally stable. When R 0 > 1, the disease-free equilibrium is unstable and the unique endemic equilibrium is locally stable. When R 0 > 1 and = 0, = 0, the endemic equilibrium is globally stable in 0 .