Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay | Zendy

Yuanyuan Chen | Zendy; Ya-Qing Bi | Zendy

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

Author(s) -

Yuanyuan Chen,

Ya-Qing Bi

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/804204

Subject(s) - center manifold , hopf bifurcation , mathematics , saddle node bifurcation , transcritical bifurcation , pitchfork bifurcation , bifurcation diagram , stability (learning theory) , mathematical analysis , delay differential equation , biological applications of bifurcation theory , bifurcation , differential equation , physics , nonlinear system , computer science , quantum mechanics , machine learning

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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