Bifurcation analysis of a model for biological control

Authors:
Jorge Sotomayor;Luis Fernando Mello;Danilo Braun Santos;Denis De Carvalho Braga
Affiliations:
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, Cidade Universitária, CEP 05.508-090, São Paulo, SP, Brazil;Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil;Centro de Ciências Sociais e Aplicadas, Universidade Mackenzie, Rua Itambé, 45, Consolação, CEP 01302-907, São Paulo, SP, Brazil;Instituto de Sistemas Elétricos e Energia, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

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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.