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Global Hopf bifurcation and permanence of a delayed SEIRS epidemic model

  • Published:2016-04 Issue: Volume:122 Page:35-54
  • ISSN:0378-4754
  • Container-title:Mathematics and Computers in Simulation
  • language:en
  • Short-container-title:Mathematics and Computers in Simulation

Author:

Jiang ZhichaoORCID,Ma Wanbiao,Wei Junjie

Funder

National Natural Science Foundation of China

Research Fund for the Doctoral Program of Higher Education of China

North China Institute of Astronautic Engineering

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference21 articles.

1. Geometric, stability switch criteria in delay differential systems with delay dependent parameters;Beretta;SIAM J. Math. Anal.,2002

2. Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays;Enatsu;Acta. Math. Sci.,2012

3. Impulsive vaccination of an SEIRS model with time delay and varying total population size;Gao;Bull. Math. Biol.,2007

4. Introduction to Functional Differential Equations;Hale,1993

5. Theory and Applications of Hopf Bifurcation;Hassard,1981

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