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Weak reversibility of the proposed ME model class

Determine whether a mathematical epidemiology model defined as the subclass of chemical reaction networks in Open Problem o:MEm can be weakly reversible, meaning each linkage class in the Feinberg–Horn–Jackson graph is strongly connected.

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Background

Weak reversibility is a central structural property in CRN theory that often yields strong dynamical consequences (e.g., complex-balanced equilibria and stability).

The authors note ME and CRN models frequently lie on opposite sides of the weak-reversibility boundary, making it unclear if ME models adhering to their proposed CRN definition can satisfy weak reversibility.

References

Open Problem Can an ME model defined as in Open Problem \ref{o:MEm} be weakly reversible?

Advancing Mathematical Epidemiology and Chemical Reaction Network Theory via Synergies Between Them (2411.00488 - Avram et al., 1 Nov 2024) in Open Problem following label o:MEm, Subsection “Some Recent Interactions Between CRN and ME Methods”