Dong barking, stochastic processes, and a recipe for getting crazy,

[dima_burago]

    My dad and me are dog-sitting three dogs and cat-sitting just one cat at my older daughter’s place near NYC. Let us do a math bio modeling exercise. We set a unit DB (dog bark) for the amount of irritating barking one dog produces. What about three dogs? You guess, 3 DB? Alas, the function is highly non-linear.
     Let as start with a naive

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