Bifurcation analysis of a model for biological control

In this paper we study the Lyapunov stability and Hopf bifurcation in a biological system which models the biological control of parasites of orange plantations.

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Bibliographic Details
Published inMathematical and computer modelling Vol. 48; no. 3; pp. 375 - 387
Main Authors Sotomayor, Jorge, Mello, Luis Fernando, Santos, Danilo Braun, de Carvalho Braga, Denis
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.08.2008
Elsevier Science
Subjects
Biological control
Exact sciences and technology
Global analysis, analysis on manifolds
Hopf bifurcation
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Ordinary differential equations
Periodic orbit
Sciences and techniques of general use
Stability
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Periodic orbit
Stability
Hopf bifurcation
Biological control
Scientific computation
Applied mathematics
Lyapunov stability
Mathematical model
Numerical stability
Computer aided analysis
Biological system
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Summary:In this paper we study the Lyapunov stability and Hopf bifurcation in a biological system which models the biological control of parasites of orange plantations.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2007.09.013