1 dP₀/dt = -λP₀ + P₁₀P₁ + P₁₀₀P₁₀
2 dP₁/dt = λP₀ - (P₁₀ + P₁₂)P₁ + P₂₁P₂
3 dP₂/dt = P₁₂P₁ - (P₂₁ + P₂₃)P₂ + P₃₂P₃
4 dP₃/dt = P₂₃P₂ - (P₃₂ + P₃₄)P₃ + P₄₃P₄
5 dP₄/dt = P₃₄P₃ - (P₄₃ + P₄₅)P₄ + P₅₄P₅
6 dP₅/dt = P₄₅P₄ - (P₅₄ + P₅₆)P₅ + P₆₅P₆
7 dP₆/dt = P₅₆P₅ - (P₆₅ + P₆₇)P₆ + P₇₆P₇
8 dP₇/dt = P₆₇P₆ - (P₇₆ + P₇₈)P₇ + P₈₇P₈
9 dP₈/dt = P₇₈P₇ - (P₈₇ + P₈₉)P₈ + P₉₈P₉
10 dP₉/dt = P₈₉P₈ - (P₉₈ + P₉₁₀)P₉ + P₁₀₉P₁₀
11 dP₁₀/dt = P₉₁₀P₉ - (P₁₀₉ + P₁₀₀)P₁₀