论文信息 - Analysis of a Delayed SIR Epidemic Model

Analysis of a Delayed SIR Epidemic Model

An SIR epidemic model with incubation time and saturated incidence rate is formulated, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the infective. Threshold quantity Ro is derived which determines whether the disease dies out or remains endemic. If Ro1, there will be an endemic and the disease is permanent if it initially exists.

Jinzhu Zhang | Zhen Jin | Jian-Jun Wang | Tie-Xiong Su

[1] J. Hale. Theory of Functional Differential Equations , 1977 .

[2] Y. Kuang. Delay Differential Equations: With Applications in Population Dynamics , 2012 .

[3] Jack K. Hale,et al. Persistence in infinite-dimensional systems , 1989 .

[4] Kenneth L. Cooke,et al. Stability analysis for a vector disease model , 1979 .

[5] Rui Xu,et al. Global stability of a SIR epidemic model with nonlinear incidence rate and time delay , 2009 .

[6] Zhen Jin,et al. Analysis of an SIR model with bilinear incidence rate , 2010 .

[7] G. Serio,et al. A generalization of the Kermack-McKendrick deterministic epidemic model☆ , 1978 .