Question: Without setting r and h to particular values, find the equilibrium algebraically. When is the equilibrium stable? A lab is growing and harvesting a culture

Without setting r and h to particular values, find the equilibrium algebraically. When is the equilibrium stable?
A lab is growing and harvesting a culture of valuable bacteria described by the discrete-time dynamical system
bt + 1 = rbt - h.
The bacteria have per capita production r, and h are harvested each generation. Graph the updating function for each, and use the Slope Criterion for stability to check the stability.

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