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2014 Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay
Yuanyuan Chen, Ya-Qing Bi
J. Appl. Math. 2014(SI06): 1-8 (2014). DOI: 10.1155/2014/804204

Abstract

A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation. The stability and direction of Hopf bifurcation are determined by applying the normal form theory and the center manifold argument.

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Yuanyuan Chen. Ya-Qing Bi. "Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay." J. Appl. Math. 2014 (SI06) 1 - 8, 2014. https://doi.org/10.1155/2014/804204

Information

Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 07131876
MathSciNet: MR3214521
Digital Object Identifier: 10.1155/2014/804204

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI06 • 2014
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