IME - Instituto de Matemática e Estatística
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O IME - Instituto de Matemática e Estatística, da Universidade Federal de Goiás, oferece Graduação em: Matemática; e, Estatística; Além de Especialização (Lato Sensu) em: Matemática; e, Educação Matemática.
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Item Aplicação das Cadeias de Markov no estudo do controle biológico da planta aquática Eichhornia azurea(2015) Silveira Júnior, Ademir Amaro da; Silveira, Graciele ParaguaiaThe aquatic plants play an important role in the dams, because help in the water filtration by removing some heavy metals, serving of fish food and shelter for some insects. However, some species are spreading and causing great inconvenience to the local population, hydroelectrics and other individuals who depend on the lakes for survival. The purpose of this work was to make an initial study of the biological control of the aquatic macrophyte Eichhornia azurea by inserting the insect predator Thrypticus sp., using mathematical modeling and Markov chains of order 1. For that, a brief historical of the aquatic plant and of the insect is presented, as well as concepts related to Markov chains and their applications in biomathematics are discussed, supporting the realization of the modeling of the problem. Actual data obtained from a survey conducted by the author between 2002 and 2003, in the city of Coxim-MS, were incorporated in the modeling process. Simulations were performed for different scenarios, assuming infestation by plant in interconnected dams and the results showed the amount of insects needed to control in each cycle. The use of mathematical modeling and Markov chains allows the implementation of several tests. Nevertheless, to achieve more accurate results in relation to biological control we intend, in future work, to use a predator-prey model and analyze in more detail the problem, add more hypotheses, and to discuss aspects related to the predator population in environment in question. The work is a result of the Professional Masters and was written with the intention that teachers and high school students are being able understand the resolutions of the examples presented.