Table 3.

Initial data used to model the characteristics of the AUF as a function of time for a single mobile app.

External ecosystem event	Day number	A U MIN a	A U MAX b	D U MIN c -D U MAX d
Initial market launch	1e(No. of users initially set at 50)	-50	50	10-20
Daily market fluctuation	All days other than those below	-50	50	10-20
Positive media publicity	100-110	50	500	10-20
Negative media publicity	350-360	-500	50	10-20
App version/operating system update	501f(No. of users reset to 500)	-50	50	10-20
Users upgrade to latest version	500-650	-20	250	10-20

^aRange for minimum number of active users of a mobile app (A _{U MIN} ).

^bRange for maximum number of active users of a mobile app (A _{U MAX} ).

^cRange for minimum median number of daily uses of an app (D _{U MIN} ).

^dRange for maximum median number of daily uses of an app (D _{U MAX} ).

^eInitial number of active users of a mobile app (A _{U INITIAL} ) on day 1 (initial market launch)=50.

^fAt day 501, the number of active users was reset to 500 to simulate app version/operating system update.