| 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 |