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Modelagem matem?tica de controle ?timo para vacina??o contra a gripe H1N1 / Mathematical modeling of optimal control for vaccination against H1N1 influenzaSouza, Pablo Amauri Carvalho de Ara?jo e 13 June 2016 (has links)
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Previous issue date: 2016-06-13 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior - CAPES / This work highlights the importance of well administrated vaccination as prophylactic
activity, making it a key element of mathematical modeling about the spreading of an
infection by Influenza H1N1 virus in a human population. The model counts with Optimal
Control theory to achieve a vaccination strategy that balance infection?s prevention and
your own cost in a hypothetical population exposed to a virus. The numerical solutions of
ordinary differential equations systems generated by model is given via Finite Difference
Method, that reveals the populational dynamics during the time while the vaccine is
distributed, in various different situations of virus exposition and vaccination cost. / Este trabalho ressalta a import?ncia da vacina??o bem administrada como atividade
profil?tica, tornando-a elemento chave da modelagem matem?tica do espalhamento da
infec??o pelo v?rus Influenza H1N1 em uma popula??o humana. O modelo conta com
a teoria de Controle ?timo para alcan?ar uma estrat?gia de vacina??o, que equilibre a
preven??o da infec??o e seu pr?prio custo em uma popula??o hipot?tica exposta ao v?rus.
As solu??es num?ricas dos sistemas de equa??es diferenciais ordin?rias gerados pelo modelo
ficam a cargo do M?todo das Diferen?as Finitas, revelando a din?mica populacional no
per?odo de tempo em que a vacina ? distribu?da, em distintas situa??es de exposi??o ao
v?rus e custo da vacina??o.
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