**Dynamical properties of Metzler systems**
http://bulletin.pan.pl/(56-4)309.pdf

The Metzler matrix M is asymptotically stable if and only if α(M) < 0. Let W(λ,M) = det[λI −M] = λn +bn−1λn−1 +...+b1λ +b0. (12) In this case α(M) < 0 if and only if bi > 0 for i = 0, 1, 2, ..., n−1 [7]; see also [5]. It is well know that the system (11) is asymptotically sta-ble if and only if Reλi(A) < 0, i = 1, ...,n. When A is the Metzler matrix then α(A) = λmax(A) and Reλi(A) < 0 if

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