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Stability and Hopf Bifurcation Analysis of a Vector‐Borne Disease with Time Delay

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  • Yuanyuan Chen
  • Ya-Qing Bi

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.

Suggested Citation

  • Yuanyuan Chen & Ya-Qing Bi, 2014. "Stability and Hopf Bifurcation Analysis of a Vector‐Borne Disease with Time Delay," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:804204
    DOI: 10.1155/2014/804204
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    References listed on IDEAS

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    1. Chen, Yuanyuan & Changming, Song, 2008. "Stability and Hopf bifurcation analysis in a prey–predator system with stage-structure for prey and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1104-1114.
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