Multistationarity and multimodality

It was mentioned (in Section 1.4) that multistationarity in deterministic models might be associated (however, only approximately) with multimodality of the stationary distribution. It is generally assumed that 

However, Cobb (1978) illustrated — with the aid of a nonreaction kinetic model — that there is no one-to-one correspondence between the location of equilibrium points and of extrema of stationary distributions. He applied a stochastic version of catastrophe theory, and stochastic catastrophe theory was also applied by Ebeling (1978). 

The possibility of the occurrence of unistationarity and multimodality is demonstrated by the following rather artificial but formally correct model. The reaction 

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