\(\frac{dP_{E}}{\text{dt}}=\) |
\(\frac{\mu_{max,E}N}{K+N}P_{E}-\frac{p_{Z}\cdot a_{Z}\cdot P_{E}^{2}}{1+h_{P_{E}}\cdot p_{Z}\cdot a_{Z}\cdot P_{E}^{2}+h_{F}\cdot\left(1-p_{Z}\right)\cdot a_{Z}\cdot F^{2}}Z-qP_{E}\), |
(2) |
\(\frac{dP_{I}}{\text{dt}}=\) |
\(\frac{\mu_{max,I}N}{K+N}P_{I}-\beta P_{I}F-qP_{I}\ \), |
(3) |
\(\frac{\text{dF}}{\text{dt}}=\) |
\(f_{F}\beta P_{I}F-\frac{\left(1-p_{Z}\right)\cdot a_{Z}\cdot F^{2}}{1+h_{P_{E}}\cdot p_{Z}\cdot a_{Z}\cdot P_{E}^{2}+h_{F}\cdot\left(1-p_{Z}\right)\cdot a_{Z}\cdot F^{2}}Z-qF\), |
(4) |
\(\frac{\text{dZ}}{\text{dt}}=\) |
\(\frac{\left(e_{p}\cdot p_{Z}\cdot a_{Z}{\cdot P}_{E}^{2}+e_{F}\cdot\left(1-p_{Z}\right)\cdot a_{Z}\cdot F^{2}\right)}{1+h_{P_{E}}\cdot p_{Z}\cdot a_{Z}\cdot
P_{E}^{2}+h_{F}\cdot\left(1-p_{Z}\right)\cdot a_{Z}\cdot F^{2}}Z-\left(q+m_{Z}\right)Z\). |
(5) |
\(\frac{dp_{Z}}{\text{dt}}=\) |
\(V\frac{\partial W_{Z}}{\partial p_{Z}}+B(p_{Z}).\) |
(6) |