Research Article

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

Table 1

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

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

2200 129749 137196 138686 140035 142339 138556.82 2116.18
2201 130070 137337 138512 140068 142463 138581.65 2099.05
2202 129457 137403 138583 140117 143120 138632.99 2123.60
2203 129224 137541 138738 140075 142707 138632.62 2135.92
2204 129302 137223 138918 140126 143430 138667.74 2208.46

(b) Stochastic trajectories for genotype 2

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

2200 65 1154 1932 2742 11321 2181.62 1623.22
2201 62 1163 1912 2757 11209 2180.71 1623.55
2202 68 1174 1893 2743 11126 2178.24 1624.77
2203 69 1163 1901 2769 11133 2173.69 1623.14
2204 66 1155 1909 2726 11082 2178.11 1627.84

(c) Stochastic trajectories for genotype 3

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

2200 0 0 0 0 0 0 0
2201 0 0 0 0 0 0 0
2202 0 0 0 0 0 0 0
2203 0 0 0 0 0 0 0
2204 0 0 0 0 0 0 0

(d) Deterministic trajectories of genotypes 1, 2, and 3

GENgenotype 1genotype 2genotype 3

2200 3 . 9 6 × 1 0 5 8 . 7 8 × 1 0 9 220884.96
2201 3 . 8 5 × 1 0 5 8 . 5 4 × 1 0 9 220884.96
2202 3 . 7 4 × 1 0 5 8 . 3 0 × 1 0 9 220884.96
2203 3 . 6 3 × 1 0 5 8 . 0 7 × 1 0 9 220884.96
2204 3 . 5 3 × 1 0 5 7 . 8 5 × 1 0 9 220884.96