- Hopf Bifurcation of an Epidemic Model with Delay
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- 发表刊物：PLOS ONE
- 关键字：TRANSMISSION DYNAMICS; BRUCELLOSIS MODEL; GLOBAL STABILITY; TIME-DELAY; DISEASE; POPULATION; BEHAVIOR; MEASLES; SYSTEM
- 摘要：A spatiotemporal epidemic model with nonlinear incidence rate and Neumann boundary conditions is investigated. On the basis of the analysis of eigenvalues of the eigenpolynomial, we derive the conditions of the existence of Hopf bifurcation in one dimension space. By utilizing the normal form theory and the center manifold theorem of partial functional differential equations (PFDs), the properties of bifurcating periodic solutions are analyzed. Moreover, according to numerical simulations, it is found that the periodic solutions can emerge in delayed epidemic model with spatial diffusion, which is consistent with our theoretical results. The obtained results may provide a new viewpoint for the recurrent outbreak of disease.
- 全部作者：Shi Qiong, Feng Li-Ping,Ding Xiao-Qiang
- 通讯作者：Song Li-Peng
- 论文编号：e0157367
- 卷号：11
- 期号：6
- 是否译文：否
- 发表时间：2016-06-01
