ISSN:
1618-3932
Keywords:
Model of infections disease
;
existence and stability of equilibria
;
Hopf bifurcation value
;
periodic solutions of Hopf type
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02016330
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