BENG449 Problem 8 2

BENG449 Problem 8 2 - 4/10/08 8:52 PM MATLAB Command Window...

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Unformatted text preview: 4/10/08 8:52 PM MATLAB Command Window 1 of 2 >> %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Alex Lemon % % BENG449 -- Biomedical Data Analysis % % Problem Set 8, Question 2 % % Due April 11, 2008 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % The differential equations describing a model of an epidemic appear in % rate_equations.m. Integrate the differential equations for the model in % order to determine: % a.) How many weeks does it take for this epidemic to reach its peak? % b.) What is the maximum number of persons sick at the peak of the % epidemic? % c.) In how many weeks will the epidemic subside (when less than 0.5% of % the susceptible population is still infected)? P = 1000; S0 = P; I0 = 1; R0 = 0; alpha = 0.005; beta = 1; c = [alpha beta]; tspan = [0 10]; xzero = [S0, I0, R0]; [t, x] = ode45(@rate_equations, tspan, xzero, , c); % a.) How many weeks does it take for this epidemic to reach its peak?...
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BENG449 Problem 8 2 - 4/10/08 8:52 PM MATLAB Command Window...

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