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The density of fish (je. the number of fish per cubic metre) in a lake is determined by the discrete-time dynamical system 6zt 1+322 1+1 where t is the time in years since the beginning of the observation. Initially, the density is zo 0.8. a) What will the density be after four years? Give your answer with an accuracy of three decimal places Answer: Number b) What is the updating function f() Answer: f(z) c) What are the biologically relevant equilibria? Separate each value by a semi-colon. Answer: d) Compute () Answer (x) e) Use the derivative test to determine the stability properties for each of the two equilibria you found in (c) Answer: It p is the smaller equilbrium point, we have f(p)Number and so it is Click for List becauseClick for List- It P is the larger equilibrium point, we have f (P)Number give your answer with an accuracy of three decimal places) and so it is Click for List because Click for List
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