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[R-sig-dyn-mod] Help to fit a dynamic model - irregular time

Hi R-masters


I need help to fit a dynamic model. In my assumption the model is

rate(t+1) ~ A(t)*rate(t)*Error1
A(t+1) ~ A(t) + b + Error2

In attached file I put my 45 points of information, but the time of
observation is irregular. Look the 3 initial observations

time
rate
                                0.16
                                0.09
                                0.25
                                0.23
                                0.38
                                0.28


Is possible fit this model?