Question: xt+1 = xt / 1 + axt where a is a positive parameter. What happens to this system if a = 0? Find all non-negative

xt+1 = xt / 1 + axt where a is a positive parameter. What happens to this system if a = 0?
Find all non-negative equilibria of the above mathematically elegant discrete-time dynamical systems.

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xt+1 = xt / a + xt where a is a positive parameter. What happens to this system if a = 0? Find all non-negative equilibria of the above mathematically elegant discrete-time dynamical systems.

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