As a class of small noncoding RNAs, microRNAs (miRNAs) regulate stability or translation of mRNA transcripts. Some reports bring new insights into possible roles of microRNAs in modulating cell cycle. In this paper, we focus on the mechanism and effectiveness of microRNA-mediated regulation in the cell cycle. We first describe two specific regulatory circuits that incorporate base-pairing micro...

This study explores the dynamics of two monopoly models with knowledgeable players. The first model was initially introduced by Naimzada and Ricchiuti, while second one is simplified famous Puu. We employ several tools based on symbolic computations to analyze local stability bifurcations models. To best our knowledge, complete conditions are obtained for time. investigate periodic solutions th...