|Table of Contents|

 Global stability analysis of a pseudorabies virus model(PDF)

《纺织高校基础科学学报》[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2017年02期
Page:
163-170
Research Field:
Publishing date:

Info

Title:
 Global stability analysis of a pseudorabies virus model
Author(s):
 LIU WenjuanLIU Junli
 School of Science, Xi’an Polytechnic University, Xi’an 710048, China
Keywords:
 pseudorabies virus basic reproduction number global stability Liapunov function
PACS:
O 175.1
DOI:
10.13338/j.issn.1006-8341.2017.02.002
Abstract:
 A pseudorabies virus model is established,and its dynamics is studied to obtain the basic reproduction number which determines the extinction and persistence of the disease. When the basic reproduction number is less than unity, there is only the disease-free equilibrium, by the linearization and Liapunov function methods, the global stability of the disease-free equilibrium is discussed. When the basic reproduction number is greater than unity, the disease-free equilibrium is unstable, there is also one unique positive equilibrium. The global stability of the positive equilibrium is proved by linearization and geometric methods.

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Last Update: 2017-07-22