The population of an island is growing at a rate of 3% per year. a) The...

 

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The population of an island is growing at a rate of 3% per year. a) The population growth of the island is governed by a linear discrete time dynamical system (DTDS) of the form Pt+1 = f(pt), where pt is the average population per square kilometer after t years. Find the updating function f (expressed as a function of a variable). Answer: f(x) = B b) Find the general solution of the DTDS requested in (a), as a function of t and of the initial value. Use p to denote the initial population Po (because this software doesn't accept subscripts). Answer: Pt= c) If the initial average population per square kilometer is 965 individuals, what will be the average population per square kilometer after 60 years? Give your answer with an accuracy of two decimal places. Answer: Number individuals. The population of an island is growing at a rate of 3% per year. a) The population growth of the island is governed by a linear discrete time dynamical system (DTDS) of the form Pt+1 = f(pt), where pt is the average population per square kilometer after t years. Find the updating function f (expressed as a function of a variable). Answer: f(x) = B b) Find the general solution of the DTDS requested in (a), as a function of t and of the initial value. Use p to denote the initial population Po (because this software doesn't accept subscripts). Answer: Pt= c) If the initial average population per square kilometer is 965 individuals, what will be the average population per square kilometer after 60 years? Give your answer with an accuracy of two decimal places. Answer: Number individuals.