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Decay modelling problem using Simulink

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Mohammed Hammouda
Mohammed Hammouda 2018-2-24
Hello everyone,
I have a question regarding a modelling problem. The problem statement is :
In a certain year we had a sample of radioactive P buried. After 10 years the sample was dug up and 90% of P was present , 8% of Q was present and 2% of R was present. So basically decays is as follows P decays to Q decays to R . If we run this for 1000 years , when will we get the largest amount for Q? I need help on how to start with this problem on Simulink so that a search function is used to find the k value that achieves the largest amount of Q.
The decay equations are :
dP/dt = -k1*P
dQ/dt = -k2*Q + k1*P
dR/dt = k2*Q
Thank you for your help in advance.

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