Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2008. / Submitted by Jaqueline Oliveira (jaqueoliveiram@gmail.com) on 2008-12-15T15:59:27Z
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DISSERTACAO_2008_KelemGomesLourenco.pdf: 1422115 bytes, checksum: 20a32fbf536b3c9518ef0a8601e1d847 (MD5) / Approved for entry into archive by Georgia Fernandes(georgia@bce.unb.br) on 2009-02-18T17:36:21Z (GMT) No. of bitstreams: 1
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DISSERTACAO_2008_KelemGomesLourenco.pdf: 1422115 bytes, checksum: 20a32fbf536b3c9518ef0a8601e1d847 (MD5) / Neste trabalho analisamos o sistema de equações differenciais com duas presas e um predador do tipo Lotka-Volterra, com e sem colheita. Inicialmente estudamos a estabilidade local e global dos pontos de equilíbrio no primeiro modelo. Posteriormente, no segundo modelo, estudamos o coeficiente de estabilidade das órbitas periódicas, através da forma normal e estimativas numéricas. Através do recurso Maple 11, verificamos o comportamento das soluções e o surgimento das órbitas periódicas.
________________________________________________________________________________________ ABSTRACT / In this work we analyzed the Lotka-Volterra system of diferential equations with two
preys and a predator, with and without harvesting. Initially we studied the local and
global stability of the points of equilibrium in the first model. Later, in the second model,
we studied the coefficient of stability of the periodic orbits, by using normal form and
numerical estimatives. By using Maple 11, we verified the behavior of the solutions and the appearance of the periodic orbits.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.unb.br:10482/1287 |
| Date | January 2008 |
| Creators | Lourenço, Kélem Gomes |
| Contributors | Moreira, Helmar Nunes |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UnB, instname:Universidade de Brasília, instacron:UNB |
| Rights | info:eu-repo/semantics/openAccess |
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