论文信息 - Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence - 字舞流文

Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence

Tailei Zhang | Junli Liu | Baoyang Peng | Junli Liu | Tailei Zhang | Baoyang Peng

[1] Y. Iwasa,et al. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models , 1986, Journal of mathematical biology.

[2] S. Levin,et al. Dynamical behavior of epidemiological models with nonlinear incidence rates , 1987, Journal of mathematical biology.

[3] Herbert W. Hethcote,et al. An epidemiological model with a delay and a nonlinear incidence rate , 1989, Journal of mathematical biology.

[4] Philip K Maini,et al. A lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence. , 2004, Mathematical biosciences and engineering : MBE.

[5] L. Renna,et al. A numerical investigation of discrete oscillating epidemic models , 2006 .

[6] Hu Zeng. Stability and Flip Bifurcation of a Discrete SIS Epidemic Model , 2011 .

[7] Zhidong Teng,et al. Stability analysis in a class of discrete SIRS epidemic models , 2012 .

[8] Jin-ren Pan,et al. [Evaluation of the effect of varicella outbreak control measures through a discrete time delay SEIR model]. , 2012, Zhonghua yu fang yi xue za zhi [Chinese journal of preventive medicine].

[9] Zhidong Teng,et al. The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence , 2013 .