A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of the endemic equilibrium of a class of multi-group models in mathematical epidemiology. We show how the group structure of the models, as manifested in the derivatives of the Lyapunov function, can be completely described using graph theory.
No takes yet. Share an insight, caveat, or question.
Guo et al. (2008) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: