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{"ops":[{"insert":"Consider the Malthusian population growth model given by the following equation\u00a0\n\n"},{"attributes":{"bold":true},"insert":"p' (t) \/ p(t) = 0.003,"},{"attributes":{"italic":true,"bold":true},"insert":"p"},{"attributes":{"bold":true,"script":"sub"},"insert":"0 "},{"attributes":{"bold":true},"insert":"= 1000"},{"insert":"\n\na)\u00a0Use the same constants to write the discrete-time Malthusian population model.\u00a0\nb)\u00a0Derive the population trajectory for the given continuous-time model.\u00a0\nc) Compute the fixed point of the trajectory determined above and analyze stability.\n"}]}
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