by 11:59pm on Mar. 29, 2023. Fish Population Growth r 1 +0.01N' The general discrete-time dynamical...

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by 11:59pm on Mar. 29, 2023. Fish Population Growth r 1 +0.01N' The general discrete-time dynamical system model for a fish population assumes a per capita production rate given by p(N) := where N is the number of fish in millions (i.e., N = 4 means 4,000,000 fish). The value of r, the maximal possible reproduction rate, depends on the particular species of fish and environmental factors. The discrete-time dynamical system that describes the development of a fish population Nt is given by: 1500 Nt+1 N... - (1+0.01) Nt. Nt Use this for problems 1 and 2. Assume that the unit for t is years. That is, t = 1 means one year. 1. Suppose that for Atlantic cod, r = 2.1. What are the equilibria points in this case? (Solve for your answer algebraically.) 2. Determine the stability of each equilibria point found in the problem 1, using the derivative test (see the lesson Logistic Equation). by 11:59pm on Mar. 29, 2023. Fish Population Growth r 1 +0.01N' The general discrete-time dynamical system model for a fish population assumes a per capita production rate given by p(N) := where N is the number of fish in millions (i.e., N = 4 means 4,000,000 fish). The value of r, the maximal possible reproduction rate, depends on the particular species of fish and environmental factors. The discrete-time dynamical system that describes the development of a fish population Nt is given by: 1500 Nt+1 N... - (1+0.01) Nt. Nt Use this for problems 1 and 2. Assume that the unit for t is years. That is, t = 1 means one year. 1. Suppose that for Atlantic cod, r = 2.1. What are the equilibria points in this case? (Solve for your answer algebraically.) 2. Determine the stability of each equilibria point found in the problem 1, using the derivative test (see the lesson Logistic Equation).