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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2000.tde-20210729-122502
Document
Author
Full name
Jocirei Dias Ferreira
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2000
Supervisor
Title in Portuguese
Bifurcação de Hopf e unicidade de ¦órbitas periódicas em modelos para doenças micro e macroparasíticas
Keywords in Portuguese
Equações Diferenciais Ordinárias
Sistemas Dinâmicos
Abstract in Portuguese
Neste trabalho mostramos a ocorrência de bifurcação de Hopf em dois modelos epidemiológicos, que descrevem doenças micro e macro parasíticas, cada um representado por um sistema de equações diferenciais ordinárias no plano. Além disso, estudamosa existência e unicidade de órbitas periódicas, via teoria de Liénard. Para finalizar, interpretamos os resultados obtidos, para descrever o comportamento da doença
Title in English
not available
Abstract in English
We show here the occurrence of Hopf bifurcation in two epidemiological models, describing micro and macro parasitical diseases, each model represented by a system of ordinary differential equations in the plane. Furthermore, we study theexistenceand unicity of periodic orbits, via liénard's theory. Finally, we interpret the results we obtained, to describe the behavior of the diseases
 
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Publishing Date
2021-07-29
 
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