Research Article

Simulating the Emergence and Survival of Mutations Using a Self Regulating Multitype Branching Processes

Table 2

Comparisons of numerical values of stochastic and deterministic trajectories for experiment 2.
(a) Stochastic trajectories for genotype 1

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

2105 0 1 1 1 141357 6915.43 30084.44
2106 0 0 1 1 141866 6892.56 30002.01
2107 0 1 1 1 141905 6879.54 29960.46
2108 0 0 1 1 142067 6874.84 29949.86
2109 0 1 1 1 142875 6860.15 29895.47

(b) Stochastic trajectories for genotype 2

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

2105 0 219892 220873 221502 223817 210124.57 46984.89
2106 0 219777 220764 221457 223816 210044.14 46937.52
2107 0 220039 220542 221381 223952 210087.86 46921.99
2108 0 219893 220751 221191 224191 210111.26 46892.89
2109 0 219958 220799 221469 224603 210195.93 46865.36

(c) Stochastic trajectories for genotype 3

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

2105 0 219892 220873 221502 223817 210124.57 46984.89
2106 0 219777 220764 221457 223816 210044.14 46937.52
2107 0 220039 220542 221381 223952 210087.86 46921.99
2108 0 219893 220751 221191 224191 210111.26 46892.89
2109 0 219958 220799 221469 224603 210195.93 46865.36

(d) Deterministic trajectories for the Three genotypes

𝐺 𝐸 𝑁 genotype 1 genotype 2 genotype 3

2105 6 . 0 4 × 1 0 5 9 . 0 0 × 1 0 1 1 220884.96
2106 5 . 8 7 × 1 0 5 8 . 9 7 × 1 0 1 1 220884.96
2107 5 . 7 0 × 1 0 5 8 . 9 3 × 1 0 1 1 220884.96
2108 5 . 5 4 × 1 0 5 8 . 9 0 × 1 0 1 1 220884.96
2109 5 . 3 8 × 1 0 5 8 . 8 7 × 1 0 1 1 220884.96