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The Delayed SEIR Epidemic Model with Continuous Vaccination(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2013年05期
Page:
123-128
Research Field:
数理科学
Publishing date:

Info

Title:
The Delayed SEIR Epidemic Model with Continuous Vaccination
Author(s):
ZHU Huan1 2 LI Dong- mei2 LIU Wei- hua2 YUAN Yu- ping1
 1. Sciences College,Heilongjiang Bayi Agriculture University,Daqing 163319,China;
2. School of Applied Science,Harbin University of Science and Technology,Harbin 150080,China
Keywords:
vaccination valid term epidemic model Hopf Bifurcation Bifurcation Direction
PACS:
O175. 1
DOI:
-
Abstract:
Abstract: A kind of SEIRS epidemic model with valid term is investigated. By choosing the effective contact
rate as the parameter,the existence of the Hopf bifurcation is analyzed,and the phenomenon that the positive equi-
librium is still keeping stable when the effective contact rate β is small but the stability will be destroyed while the
effective contact rate processes a critical point and Hopf bifurcation appears at this point is indicated. Finally,the
explicit formulates to determine the stability and direction of bifurcating period solutions are deduced by using the
center manifold and the normal form theories.

References:

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Last Update: 2013-12-26