宋礼鹏
Professor
Visit:次
Paper Publications
Home
Hopf Bifurcation of an Epidemic Model with Delay
  • Journal:
    PLOS ONE
  • Key Words:
    TRANSMISSION DYNAMICS; BRUCELLOSIS MODEL; GLOBAL STABILITY; TIME-DELAY; DISEASE; POPULATION; BEHAVIOR; MEASLES; SYSTEM
  • Abstract:
    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.
  • All the Authors:
    Shi Qiong, Feng Li-Ping,Ding Xiao-Qiang
  • Correspondence Author:
    Song Li-Peng
  • Document Code:
    e0157367
  • Volume:
    11
  • Issue:
    6
  • Translation or Not:
    no
  • Date of Publication:
    2016-06-01

Pre One:Modeling and Control of Colorectal Cancer

Next One:Classification of large-scale stellar spectra based on the non-linearly assembling learning machine

Copyright All Rights Reserved Shandong University Address: No. 27 Shanda South Road, Jinan City, Shandong Province, China: 250100
Information desk: (86) - 0531-88395114
On Duty Telephone: (86) - 0531-88364731 Construction and Maintenance: Information Work Office of Shandong University