The differential susceptibility SIR epidemic model with stage structure and pulse vaccination

✍ Scribed by Xiao-Bing Zhang; Hai-Feng Huo; Xiao-Ke Sun; Qiang Fu

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 676 KB
• Volume: 11
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2009.09.011

✦ Synopsis

The differential susceptibility SIR epidemic model with stage structure and pulse vaccination is introduced. By the comparison theorem, some sufficient conditions for the globally attractivity of an infection-free periodic solution and the permanence of this system are presented. Two numerical simulations are also given to illustrate our main results.