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“As epidemiologists, we are interested in equilibria because stable equilibria tell us when a system has attained stability -- or where it will, eventually, attain stability. Epidemics are 'extraordinary events'. The term 'outbreak', beloved of the popular media when commenting on epidemics, emphasises that we are dealing with a phenomenon that goes counter to 'business as usual'. Stable equilibria are nothing more than mathematical descriptions of states in which the system can settle again and attain a measure of normalcy.” — Chris von Csefalvay

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As epidemiologists, we are interested in equilibria because stable equilibria tell us when a system has attained stability -- or where it will, eventually, attain stability. Epidemics are 'extraordinary events'. The term 'outbreak', beloved of the popular media when commenting on epidemics, emphasises that we are dealing with a phenomenon that goes counter to 'business as usual'. Stable equilibria are nothing more than mathematical descriptions of states in which the system can settle again and attain a measure of normalcy.
— Chris von Csefalvay