Hopf Bifurcation in a Model for Biological Control
Jorge Sotomayor, Luis Fernando Mello, Danilo Braun Santos, Denis de, Carvalho Braga
TL;DR
This paper investigates the stability and bifurcation behavior in a biological control model for managing parasites in orange plantations, providing insights into the system's dynamic transitions.
Contribution
It introduces a mathematical analysis of Hopf bifurcation in a biological control model, highlighting conditions for stability changes.
Findings
Identification of conditions for Lyapunov stability
Detection of Hopf bifurcation points
Implications for biological control strategies
Abstract
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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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Mathematical and Theoretical Epidemiology and Ecology Models · Chaos control and synchronization