2018-11-012018-11-012015-08TAVARES, H. R. et al. Densidade crítica no modelo de percolação em rede de Bethe não-homogênea. TEMA (São Carlos), São Carlos, v. 16, n. 2, p. 173-182, maio/ago. 2015. Disponível em: http://repositorio.ufpa.br/jspui/handle/2011/10355. Acesso em:.2179-8451https://repositorio.ufpa.br/handle/2011/10355In this work we deal with an inhomogeneous Bethe lattice percolation model where the probability of an edge in level n is open changes according as n. This model can be appropriate to the case where the media changes its density in a systematic way, such as the proliferation of insects that depends on the temperature and humidity, which fluctuates between day and night. We consider the case where the density p(·) follows a function of the distance l(.) from the origin, given by a sinusoid function p(·) = p + (1 - p)|sin(l(.))|. For this model we present results of Monte-Carlo simulation showing the behavior of the probability of percolation with a second-order phase transition, but we present too a formal proof that the density is non trivial, with the mathematical expression to compute the percolation threshold.Acesso AbertoFunção PercolaçãoRede de BetheProbabilidadeDensidade críticaInhomogeneus percolationCritical pointArtigo de PeriódicoCNPQ::CIENCIAS EXATAS E DA TERRA::PROBABILIDADE E ESTATISTICAhttp://dx.doi.org/10.5540/tema.2015.016.02.0173