Table 1 \(N\): Population size; \({N}_{0}\): Population size at time \(t=0\); \(y={\text{ln}}(\frac{N}{{N}_{0}})\): Logarithmic population size; \({N}_{\infty }\): Maximum population size (\({N}_{\infty }={N}_{0} {\text{exp}}(A))\); \({\mu }_{max}\): Maximum growth rate; \(\lambda\): Lag time; \(t\): Time
Growth model | Equation |
|---|---|
Modified logistic | \(y=\frac{A}{1+{\text{exp}}\left[\frac{4{\mu }_{\max}}{A}\left(\lambda -t\right)+2\right]}\) |
Modified Gompertz | \(y=A\cdot {\text{exp}}\left\{-{\text{exp}}\left[\frac{{\mu }_{max\cdot e}}{A}\left(\uplambda -{\text{t}}\right)+1\right]\right\}\) |
Exponential | \(N={N}_{0}{\text{exp}}({\mu }_{\max}t)\) |