Sorry for the self-referential title ;)
I'd be curious to know what's a curve that could be used to model - in the scale of (say) weeks* - the "engagement lifecycle" of a single news page of an online newspaper in terms of webpage views. The same model could be applied for Stack Exchange questions views too!
What I would intuitively model is the initial spike of visits due to the fact that a new, fresh page is very visible as it's linked in the homepage (triggering also social media reshares) and then the long-term visit behavior e.g. due to that page being reached from links from other webpages, or via search engines.
One possible way would then be the sum of two Poisson processes (the first switching off after some typical characteristic time).
Another possibility would be using something like exponential decay to capture a decay over time of interest (the "freshness" of the content fades, and so does public interest).
Is anyone aware of better alternatives or literature on this?
*I wouldn't model day-night nor weekly seasonality.