论文信息 - Exponential convergence of an epidemic model with continuously distributed delays

Exponential convergence of an epidemic model with continuously distributed delays

In this paper the convergence behavior of an epidemic model with continuously distributed delays is considered. Some new sufficient conditions are established to ensure that all the solutions of the epidemic model with permitted initial conditions converge exponentially to zero.

Bingwen Liu | Bing Xiao

[1] Wenlian Lu,et al. Dynamical Behaviors of a Large Class of General Delayed Neural Networks , 2005, Neural Computation.

[2] Lansun Chen,et al. The periodic solution of a class of epidemic models , 1999 .

[3] Gunnar Aronsson,et al. A deterministic model in biomathematics. asymptotic behavior and threshold conditions , 1980 .

[4] Chen Liu-juan. The Positive Periodic Solution for a Class of Nonlinear System with Continuous Time Delay , 2006 .

[5] Winston Garira,et al. Asymptotic properties of an HIV/AIDS model with a time delay , 2007 .

[6] S. Ruan. The effect of global travel on the spread of SARS. , 2005, Mathematical biosciences and engineering : MBE.

[7] J. Yorke,et al. A Deterministic Model for Gonorrhea in a Nonhomogeneous Population , 1976 .

[8] Stavros Busenberg,et al. Periodic Solutions of a Periodic Nonlinear Delay Differential Equation , 1978 .

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

[10] Edward D. Crandall,et al. An analysis of external respiration in man , 1968 .

[11] Alberto d'Onofrio,et al. Stability properties of pulse vaccination strategy in SEIR epidemic model. , 2002, Mathematical biosciences.

[12] Xiao-Qiang Zhao,et al. A periodic epidemic model in a patchy environment , 2007 .