Research Article

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

Table 3

Comparisons of numerical values of stochastic and deterministic trajectories for experiment 4.
(a) Stochastic trajectories for genotype 1

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

150 0 0 5 8 16 5.18 3.99
151 0 0 6 8 18 5.45 4.14
152 0 0 5 8 17 5.17 3.91
153 0 0 5 9 14 5.48 4.07
154 0 0 6 8 15 5.38 3.94

(b) Stochastic trajectories for genotype 2

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

150 0 0 1 1 1 0.70 0.46
151 0 0 1 1 1 0.68 0.47
152 0 0 1 1 1 0.65 0.48
153 0 0 1 1 1 0.67 0.47
154 0 0 1 1 1 0.65 0.48

(c) Stochastic trajectories for genotype 3

GEN MIN 𝑄 2 5 𝑄 5 0 𝑄 7 5 MAX MEAN SD

150 0 0 8.33 8.33 8.33 6.16 3.67
151 0 0 8.33 8.33 8.33 6.16 3.67
152 0 0 8.33 8.33 8.33 6.16 3.67
153 0 0 8.33 8.33 8.33 6.16 3.67
154 0 0 8.33 8.33 8.33 6.16 3.67

(d) Deterministic trajectories for the three genotypes

GENgenotype 1genotype 2genotype 3

150 8.33 0.08 8 . 3 3 × 1 0 1 5
151 8.33 0.08 8 . 3 3 × 1 0 1 5
152 8.33 0.08 8 . 3 3 × 1 0 1 5
153 8.33 0.08 8 . 3 3 × 1 0 1 5
154 8.33 0.08 8 . 3 3 × 1 0 1 5