A SIRS epidemic model with infection-age dependence

作者：Zhang Zhonghua; Peng Jigen^*

来源：Journal of Mathematical Analysis and Applications, 2007, 331(2): 1396-1414.

DOI：10.1016/j.jmaa.2006.09.061

• epidemiology
• SIRS epidemic model
• infection-age
• equilibria
• asymptotic stability

Based on J. Mena-Lorca and H.W Hethcote's epidemic model, a SIRS epidemic model with infection-age-dependent infectivity and general nonlinear contact rate is formulated. Under general conditions, the unique existence of its global positive solutions is obtained. Moreover, under more general assumptions than the existing, the existence and asymptotical stability of its equilibria are discussed. In the end, the condition on the stability of endemic equilibrium is verified by a special model.

• 出版日期2007-7-15
• 单位西安交通大学