On the Dynamics of an Oil Price Model
Author(s) -
Teodoro Lara
Publication year - 2014
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2014/375856
Subject(s) - eigenvalues and eigenvectors , order (exchange) , value (mathematics) , dynamics (music) , function (biology) , stability (learning theory) , energy (signal processing) , mathematical economics , economics , mathematics , computer science , physics , statistics , acoustics , finance , quantum mechanics , evolutionary biology , machine learning , biology
We address the dynamic of an energy price model in a more general approach; to our knowledge, in previous works, different conditions are imposed on the energy price function at a particular value in order to characterize stability and unstability for real or complex eigenvalues. Nonexistence of periodic orbits is shown by means of Dulac’s criterion; we also exhibit some pictures of solutions. Finally we modify this model and apply it to some particular cases in Venezuela economy.
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