Mathematical model, time-dependent emission

From these results, we have constructed a mathematical model (24) for the time-dependent emission which Incorporates three reactive Intermediates ... 

From a detailed knowledge of the emissions, topography, meteorology, chemistry, and deposition processes, one can develop mathematical models that predict the concentrations of primary and secondary pollutants as a function of time at various locations. Depending on the particular model, these may describe pollutant concentrations over a variety of scales ... 

The dynamic behavior of the carbon cycle and other complex systems may tend toward conditions of no change or steady state when exchanges are balanced by feedback loops. For example, model simulations of historical and projected effects of anthropogenic CO2 and CH4 emissions are usually based on an assumed carbon-cycle steady state before the onset of human influence. It is important to understand that the concept of steady state refers to an approximate condition within the context of a particular time-dependent frame of reference. Sundquist (1985) examined this problem rigorously using eigenanalysis of a hierarchy of carbon-cycle box models in which boxes were mathematically... 

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