Autocatalysis and Oscillatory Chemical Reactions

If a product of a reaction catalyzes that reaction, the reaction is said to exhibit autocatalysis. The simplest hypothetical autocatalytic reaction 

13 Chemical Reaction Mechanisms II Catalysis and Miscellaneous Topics 

We can illustrate oscillatory behavior with the Lotka-Volterra mechanism  

This mechanism can show oscillatory behavior if A is continually replenished so that [A] remains constant This mechanism has been used in ecology as a simple predator-prey model, in which A represents the food supply (grass) for prey animals (hares), represented by X. Predators (wolves) are represented by Y, and dead wolves are represented by P. The consumption of grass (A) by the hares (X) allows them to reproduce as in step 1, and the consumption of hares by wolves (Y) allows the wolves to reproduce as in step 2. Step 3 corresponds to the death of wolves by natural causes. Since no 

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