Simulate disease progress data under the exponential epidemic model, with optional replicated observations.
Arguments
- N
Total epidemic duration. Must be positive.
- dt
Time interval between assessments. Must be positive and less than or equal to `N`.
- y0
Initial disease intensity as a proportion, strictly between 0 and 1.
- r
Apparent infection rate. Must be positive.
- n
Number of replicated curves. Must be a positive whole number.
- alpha
Non-negative noise level applied to replicated observations.
Examples
sim_exponential(N = 30, dt = 5, y0 = 0.01, r = 0.05, n = 4)
#> replicates time y random_y
#> 1 1 0 0.01000000 0.01179780
#> 2 1 5 0.01284162 0.01018958
#> 3 1 10 0.01649025 0.01988401
#> 4 1 15 0.02117507 0.01920223
#> 5 1 20 0.02719036 0.03054428
#> 6 1 25 0.03491400 0.05103115
#> 7 1 30 0.04483125 0.04256408
#> 8 2 0 0.01000000 0.01149272
#> 9 2 5 0.01284162 0.01691009
#> 10 2 10 0.01649025 0.01741901
#> 11 2 15 0.02117507 0.01386981
#> 12 2 20 0.02719036 0.02947986
#> 13 2 25 0.03491400 0.02594200
#> 14 2 30 0.04483125 0.04846053
#> 15 3 0 0.01000000 0.01000000
#> 16 3 5 0.01284162 0.01168923
#> 17 3 10 0.01649025 0.01152340
#> 18 3 15 0.02117507 0.01704291
#> 19 3 20 0.02719036 0.02773135
#> 20 3 25 0.03491400 0.02820894
#> 21 3 30 0.04483125 0.06377067
#> 22 4 0 0.01000000 0.01000000
#> 23 4 5 0.01284162 0.01876478
#> 24 4 10 0.01649025 0.01798649
#> 25 4 15 0.02117507 0.02236905
#> 26 4 20 0.02719036 0.03113404
#> 27 4 25 0.03491400 0.04275928
#> 28 4 30 0.04483125 0.04788343
