(Solved) : 56 Diabetes Illness Risen Epidemic Propor Tions Affecting 3 Total World Population 2003 Di Q32707776 . . .
Control systems question
56. Diabetes is an illness that has risen to epidemic propor- tions, affecting about 3% of the total world population in 2003. A differential equation model that describes the total population size of diabetics is dC(t dt dN( with the initial conditions C(0) and Co and N(0) No 1(1) the system input: the number of new cases of diabetes = C() number of diabetics with complications N() the system output: the total number of diabetics with and without complications natural mortality rate (constant) probability of developing a complication (constant) mortality rate due to complications (constant) rate at which patients with complications become severely disabled (constant) rate at which complications are cured (constant) μ v = γ Assume the following values for parameters v 0.05/yr, μ = 0.02/yr, γ = 0.08/yr, λ = 0.7, with ini- tial conditions Co 47,000,500 and No ,61,100,500. Assume also that diabetic incidence is constant/() = 1 = 6 × 1(f (Boutaye, 2004). a. Draw a block diagram of the system showing the output N(s), the input I(s), the transfer function, and the initial conditions. b. Use any method to find the analytic expression for N(t) for t 2 0. Show transcribed image text
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Answer to 56 Diabetes Illness Risen Epidemic Propor Tions Affecting 3 Total World Population 2003 Di Q32707776 . . .
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