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(Modified from Strogatz) Consider a system of two chemical compounds, A and X. One molecule of A and one of X react to produce two
(Modified from Strogatz) Consider a system of two chemical compounds, A and X. One molecule of A and one of X react to produce two molecules of X, with rate constant 0.1. Also, two molecules of X can react to form one molecule of X and one molecule of A, with a rate constant of 0.05.
a) Write differential equation for the concentration of X. (Hint: Look back at the predator-prey and disease models studied in earlier sections.)
b) Find the equilibria of this system and describe their stability.
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