Dear Jack Don McLovin

I was facing trouble for a PDE two species competition model and the question was based a system of parabolic PDE model with no flux boundaries.

You shared a lot including multiple areas of Science about monotonicity including PDE. My point, is there any way say directly for a PDE system what is the order of monotonicity, though you have discussed in your last discussion about a PDE dynamical system. Shortly can you summarize the answer.