Many different assumptions concerning the carrying capacity of the population and the rate of growth of two competing species and their current positions lead to beautiful and predictable curves in the Lotka Volterra equations for the path they will take to equilibrium. Many of these curves are pictured in google images under Lotka Volterra. The mathematics behind them are covered in most excellent books like Mathematical Biology by J.D Murray. It is interesting to contemplate whether the moves of two markets that are similar to some of the positions of these curves might take a predictable path.

Shane James writes: 

Perhaps looking at one of the two markets as the 'prey' and one as the 'predator' is also helpful

The JPY and the Bonds come immediately to mind.


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