The purpose of this report was to analyze the dynamical behavior of a single reaction in a continuous stirred tank reactor (CSTR). The ultimate goal of the project was to understand the dynamical behavior of the model. In general, CSTR are operated at steady state, but when certain kinetic and reactor specific parameters attain threshold values, the behavior of the reactor is no longer steady (not changing with time) but becomes transient. We set out to understand this transient phenomena in a CSTR by analyzing the fixed points of the system and their stability. Important in this model is the effect of kinetic and reactor specific parameters that affect the fixed points. A crucial part was to determine bifurcation points of the system. A short background on the theory of transient concentration and temperature behavior in a CSTR is presented, followed by an analysis of our results. The analysis includes model simulations in CAS Maple and xrk. A conclusion will summarize the results and suggest improvements for the future analysis of the model.