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Hopf bifurcation and other dynamical behaviors for a fourth order differential equation in models of infectious disease

Hopf bifurcation and other dynamical behaviors for a fourth order differential equation in models... Periodic solutions of Hopf type and other dynamical behaviors for a four-order differential equation which occurs in the model of infections disease are investigated. The extended theorem about the conditions for the existence of Hopf bifurcation is proved in higher-order differential equations with several parameters. The Hopf bifurcation value is given through the medium of the corresponding coordinate at the Hopf bifurcation point, and depends on one parameter. The paper reveals that the model of Holt and Picker has periodic solutions, and proves the reliability of the numerical solution which is given by Liu Winmin. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Hopf bifurcation and other dynamical behaviors for a fourth order differential equation in models of infectious disease

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 1994 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02016330
Publisher site
See Article on Publisher Site

Abstract

Periodic solutions of Hopf type and other dynamical behaviors for a four-order differential equation which occurs in the model of infections disease are investigated. The extended theorem about the conditions for the existence of Hopf bifurcation is proved in higher-order differential equations with several parameters. The Hopf bifurcation value is given through the medium of the corresponding coordinate at the Hopf bifurcation point, and depends on one parameter. The paper reveals that the model of Holt and Picker has periodic solutions, and proves the reliability of the numerical solution which is given by Liu Winmin.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 15, 2005

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